If D is the degree of the curve of radius R, the exact length of its specified chord, is (A) Radius of the curve × sine of half the degree (B) Diameter of the curve × sine of half the degree (C) Diameter of the curve × cosine of half the degree (D) Diameter of the curve × tangent of half the degree

If D is the degree of the curve of radius R, the exact length of its specified chord, is
(A) Radius of the curve × sine of half the degree
(B) Diameter of the curve × sine of half the degree
(C) Diameter of the curve × cosine of half the degree
(D) Diameter of the curve × tangent of half the degree
by

1 Answer

Answer :

(B) Diameter of the curve × sine of half the degree
by

Related questions

If is the length of a sub-chord and is the radius of simple curve, the angle of deflection between its tangent and sub-chord, in minutes, is equal to (A) 573 S/R (B) 573 R/S (C) 1718.9 R/S (D) 1718.9 S/R

Description : If is the length of a sub-chord and is the radius of simple curve, the angle of deflection  between its tangent and sub-chord, in minutes, is equal to  (A) 573 S/R (B) 573 R/S (C) 1718.9 R/S (D) 1718.9 S/R

Last Answer : (D) 1718.9 S/R

If the long chord and tangent length of a circular curve of radius R are equal the angle of deflection, is (A) 30° (B) 60° (C) 90° (D) 120°

Description : If the long chord and tangent length of a circular curve of radius R are equal the angle of deflection, is (A) 30° (B) 60° (C) 90° (D) 120°

Last Answer : D

The length of a traverse leg may be obtained by multiplying the latitude and (A) Secant of its reduced bearing (B) Sine of its reduced bearing (C) Cosine of its reduced bearing (D) Tangent of its reduced bearing

Description : The length of a traverse leg may be obtained by multiplying the latitude and (A) Secant of its reduced bearing (B) Sine of its reduced bearing (C) Cosine of its reduced bearing (D) Tangent of its reduced bearing

Last Answer : (A) Secant of its reduced bearing

The radius of a simple circular curve is 300 m and length of its specified chord is 30 m. The degree of the curve is (A) 5.73° (B) 5.37° (C) 3.57° (D) 3.75°

Description : The radius of a simple circular curve is 300 m and length of its specified chord is 30 m. The degree of the curve is (A) 5.73° (B) 5.37° (C) 3.57° (D) 3.75°

Last Answer : (A) 5.73°

If a gauge is installed perpendicular to the slope, its measurement is reduced by multiplying (A) Sine of the angle of inclination with vertical (B) Cosine of the angle of inclination with vertical (C) Tangent of the angle of inclination with vertical (D) Calibration coefficient of the gauge

Description : If a gauge is installed perpendicular to the slope, its measurement is reduced by multiplying (A) Sine of the angle of inclination with vertical (B) Cosine of the angle of inclination with vertical (C) Tangent of the angle of inclination with vertical (D) Calibration coefficient of the gauge

Last Answer : Answer: Option B

Designation of a curve is made by: (A) Angle subtended by a chord of any length (B) Angle subtended by an arc of specified length (C) Radius of the curve (D) Curvature of the curve

Description : Designation of a curve is made by:  (A) Angle subtended by a chord of any length  (B) Angle subtended by an arc of specified length  (C) Radius of the curve  (D) Curvature of the curve 

Last Answer : (C) Radius of the curve 

If the radius of a simple curve is R, the length of the chord for calculating offsets by the method of chords produced, should not exceed. (A) R/10 (B) R/15 (C) R/20 (D) R/25

Description : If the radius of a simple curve is R, the length of the chord for calculating offsets by the method of  chords produced, should not exceed.  (A) R/10  (B) R/15  (C) R/20  (D) R/25 

Last Answer : (C) R/20 

The tangent length of a simple circular curve of radius R (A) R tan (B) R tan (C) R sin (D) R sin

Description : The tangent length of a simple circular curve of radius R (A) R tan (B) R tan (C) R sin (D) R sin

Last Answer : Answer: Option B

The angle of intersection of a curve is the angle between (A) Back tangent and forward tangent (B) Prolongation of back tangent and forward tangent (C) Forward tangent and long chord (D) Back tangent and long chord

Description : The angle of intersection of a curve is the angle between (A) Back tangent and forward tangent (B) Prolongation of back tangent and forward tangent (C) Forward tangent and long chord (D) Back tangent and long chord

Last Answer : (A) Back tangent and forward tangent

If the radius of a simple curve is 600 m, the maximum length of the chord for calculating offsets, is taken (A) 15 m (B) 20 m (C) 25 m (D) 30 m

Description : If the radius of a simple curve is 600 m, the maximum length of the chord for calculating offsets, is  taken  (A) 15 m  (B) 20 m  (C) 25 m  (D) 30 m

Last Answer : (D) 30 m

If the radius of a main curve is 300 m and length of the transition curve is 100 m, the angle with tangent to locate the junction point, is (A) 1° 11' (B) 2° 11' (C) 3° 11' (D) 4° 11'

Description : If the radius of a main curve is 300 m and length of the transition curve is 100 m, the angle with tangent to locate the junction point, is (A) 1° 11' (B) 2° 11' (C) 3° 11' (D) 4° 11'

Last Answer : Answer: Option C

Rankine's deflection angle in minutes is obtained by multiplying the length of the chord by (A) Degree of the curve (B) Square of the degree of the curve (C) Inverse of the degree of the curve (D) None of these

Description : Rankine's deflection angle in minutes is obtained by multiplying the length of the chord by (A) Degree of the curve (B) Square of the degree of the curve (C) Inverse of the degree of the curve (D) None of these

Last Answer : (A) Degree of the curve

Transition curves are introduced at either end of a circular curve, to obtain (A) Gradually decrease of curvature from zero at the tangent point to the specified quantity at the junction of the transition curve with main curve (B) Gradual increase of super-elevation from zero at the tangent point to the specified amount at the junction of the transition curve with main curve (C) Gradual change of gradient from zero at the tangent point to the specified amount at the junction of the transition curve with main curve (D) None of these

Description : Transition curves are introduced at either end of a circular curve, to obtain (A) Gradually decrease of curvature from zero at the tangent point to the specified quantity at the junction of the ... specified amount at the junction of the transition curve with main curve (D) None of these

Last Answer : (B) Gradual increase of super-elevation from zero at the tangent point to the specified amount at the junction of the transition curve with main curve

Pick up the correct statement from the following: (A) Long tangent sections exceeding 3 km in length should be avoided (B) Curve length should be at least 150 metres for a deflection angle of 5 degree (C) For every degree decrease in the deflection angle, 30 metre length of curve to be increased (D) All the above

Description : Pick up the correct statement from the following: (A) Long tangent sections exceeding 3 km in length should be avoided (B) Curve length should be at least 150 metres for a deflection angle of 5 ... decrease in the deflection angle, 30 metre length of curve to be increased (D) All the above

Last Answer : Answer: Option D

If S, L and R are the arc length, long chord and radius of the sliding circle then the perpendicular distance of the line of the resultant cohesive force, is given by (A) a = S.R/L (B) a = L.S/R (C) a = L.R/S (D) None of these

Description : If S, L and R are the arc length, long chord and radius of the sliding circle then the perpendicular distance of the line of the resultant cohesive force, is given by (A) a = S.R/L (B) a = L.S/R (C) a = L.R/S (D) None of these

Last Answer : (A) a = S.R/L

The sine and cosine curves intersect infinitely many times , bounding regions of equal areas . Sketch one of these regions and find its area .

Description : The sine and cosine curves intersect infinitely many times , bounding regions of equal areas . Sketch one of these regions and find its area .

Last Answer : The sine and cosine curves intersect infinitely many times , bounding regions of equal areas . Sketch one of these ... ` C. `3 sqrt2` D. `4 sqrt2`

The given figure shows a circle with centre O in which a diameter AB bisects the chord PQ at the point R. If PR = RQ = 8 cm and RB = 4 cm, then find the radius of the circle. -Maths 9th

Description : The given figure shows a circle with centre O in which a diameter AB bisects the chord PQ at the point R. If PR = RQ = 8 cm and RB = 4 cm, then find the radius of the circle. -Maths 9th

Last Answer : Let r be the radius, then OQ = OB = r and OR = (r - 4) ∴ OQ2 = OR2 + RO2 ⇒ r2 = 64 + (r-4)2 ⇒ r2 = 64 + r2 + 16 - 8r ⇒ 8r = 80 ⇒ r = 10 cm

The given figure shows a circle with centre O in which a diameter AB bisects the chord PQ at the point R. If PR = RQ = 8 cm and RB = 4 cm, then find the radius of the circle. -Maths 9th

Description : The given figure shows a circle with centre O in which a diameter AB bisects the chord PQ at the point R. If PR = RQ = 8 cm and RB = 4 cm, then find the radius of the circle. -Maths 9th

Last Answer : Let r be the radius, then OQ = OB = r and OR = (r - 4) ∴ OQ2 = OR2 + RO2 ⇒ r2 = 64 + (r-4)2 ⇒ r2 = 64 + r2 + 16 - 8r ⇒ 8r = 80 ⇒ r = 10 cm

Why do sine and cosine have values at 90° and 0°?

Description : Why do sine and cosine have values at 90° and 0°?

Last Answer : There is no premise that a trigonometric function can only be applied in a right triangle. How would it be possible to talk about trigonometric functions of angles greater than 180? Sine and cosine are simply ... projection, its cosine is zero. Similarly, for the sine of a 90 degree angle being 1.

The phase difference between sine and cosine function for a given wave form is

Description : The phase difference between sine and cosine function for a given wave form is

Last Answer : The phase difference between sine and cosine function for a given wave form is 900

For a curve of radius 100 m and normal chord 10 m, the Rankine's deflection angle, is (A) 0°25'.95 (B) 0°35'.95 (C) 1°25'.53 (D) 2°51'.53

Description : For a curve of radius 100 m and normal chord 10 m, the Rankine's deflection angle, is (A) 0°25'.95 (B) 0°35'.95 (C) 1°25'.53 (D) 2°51'.53

Last Answer : (D) 2°51'.53

A circle has radius √2 cm. It is divided into two segments by a chord of length 2cm.Prove that the angle subtended by the chord at a point in major segment is 45 degree . -Maths 9th

Description : A circle has radius √2 cm. It is divided into two segments by a chord of length 2cm.Prove that the angle subtended by the chord at a point in major segment is 45 degree . -Maths 9th

Last Answer : Given radius =2 cm Therefore AO=2 cm Let OD be the perpendicular from O on AB And AB =2cm Therefore AD=1cm (perpendicular from the centre bisects the chord) Now in triangle AOD, AO=2 cm ... by a chord at the centre is double of the angle made by the chord at any poin on the circumference)

Which one of the following statements is not correct? (A) The tangent of the angle of friction is equal to coefficient of friction (B) The angle of repose is equal to angle of friction (C) The tangent of the angle of repose is equal to coefficient of friction (D) The sine of the angle of repose is equal to coefficient to friction

Description : Which one of the following statements is not correct?  (A) The tangent of the angle of friction is equal to coefficient of friction  (B) The angle of repose is equal to angle of ... coefficient of friction  (D) The sine of the angle of repose is equal to coefficient to friction

Last Answer : (D) The sine of the angle of repose is equal to coefficient to friction

If degree of a road curve is defined by assuming the standard length of an arc as 30 metres, the radius of 1° curve is equal (A) 1719 m (B) 1146 m (C) 1046 m (D) 1619 m

Description : If degree of a road curve is defined by assuming the standard length of an arc as 30 metres, the radius of 1° curve is equal (A) 1719 m (B) 1146 m (C) 1046 m (D) 1619 m

Last Answer : Answer: Option A

The total length of a valley formed by two gradients - 3% and + 2% curve between the two tangent points to provide a rate of change of centrifugal acceleration 0.6 m/sec2 , for a design speed 100 kmph, is (A) 16.0 m (B) 42.3 m (C) 84.6 m (D) None of these

Description : The total length of a valley formed by two gradients - 3% and + 2% curve between the two tangent points to provide a rate of change of centrifugal acceleration 0.6 m/sec2 , for a design speed 100 kmph, is (A) 16.0 m (B) 42.3 m (C) 84.6 m (D) None of these

Last Answer : Answer: Option C

If the radii of a compound curve and a reverse curve are respectively the same, the length of common tangent (A) Of compound curve will be more (B) Of reverse curve will be more (C) Of both curves will be equal (D) None of these

Description : If the radii of a compound curve and a reverse curve are respectively the same, the length of common tangent (A) Of compound curve will be more (B) Of reverse curve will be more (C) Of both curves will be equal (D) None of these

Last Answer : Answer: Option C

If R is the radius of a main curve and L is the length of the transition curve, the shift of the curve, is (A) L/24 R (B) L2 /24 R (C) L3 /24 R (D) L4 /24 R

Description : If R is the radius of a main curve and L is the length of the transition curve, the shift of the curve, is (A) L/24 R (B) L2 /24 R (C) L3 /24 R (D) L4 /24 R

Last Answer : Answer: Option B

If L is the length of a moving vehicle and R is the radius of curve, the extra mechanical width b to be provided on horizontal curves, (A) L/R (B) L/2R (C) L²/2R (D) L/3R

Description : If L is the length of a moving vehicle and R is the radius of curve, the extra mechanical width b to be provided on horizontal curves, (A) L/R (B) L/2R (C) L²/2R (D) L/3R

Last Answer : Answer: Option C

State the meaning of degree of curve and long chord.

Description : State the meaning of degree of curve and long chord.

Last Answer : Degree of curve : The angle subtended at the centre by a standard chord of 30 m length, is known as degree of curve. Long Chord : The straight line joining rear tangent point and forward tangent point is called as long chord of curve.

The mathematical perception of the gradient is said to be a) Tangent b) Chord c) Slope d) Arc

Description : The mathematical perception of the gradient is said to be a) Tangent b) Chord c) Slope d) Arc

Last Answer : c) Slope

A chord of a circle of radius 7.5 cm with centre 0 is of length 9 cm. Find its distance from the centre. -Maths 9th

Description : A chord of a circle of radius 7.5 cm with centre 0 is of length 9 cm. Find its distance from the centre. -Maths 9th

Last Answer : ∵ PM = MQ = 1/2 = PQ = 45 cm and OP = 7.5 cm In right angled ΔOMP, using phthagoras theorem OM2 = OP2 - PM2 ⇒OM2 = 7.52 - 4.52 ⇒OM2 = 56.25 - 20.25 ⇒OM2 = 36 ∴ OM = √36 = 6 cm

A chord of a circle of radius 7.5 cm with centre 0 is of length 9 cm. Find its distance from the centre. -Maths 9th

Description : A chord of a circle of radius 7.5 cm with centre 0 is of length 9 cm. Find its distance from the centre. -Maths 9th

Last Answer : ∵ PM = MQ = 1/2 = PQ = 45 cm and OP = 7.5 cm In right angled ΔOMP, using phthagoras theorem OM2 = OP2 - PM2 ⇒OM2 = 7.52 - 4.52 ⇒OM2 = 56.25 - 20.25 ⇒OM2 = 36 ∴ OM = √36 = 6 cm

The radius of a circle is 13 cm and the length of one of its chords is 24 cm. Find the distance of the chord from the centre. -Maths 9th

Description : The radius of a circle is 13 cm and the length of one of its chords is 24 cm. Find the distance of the chord from the centre. -Maths 9th

Last Answer : Let PQ be a chord of a circle with centre O and radius 13cm such that PQ = 24cm. From O, draw OM perpendicular PQ and join OP. As, the perpendicular from the centre of a circle to a chord bisects the chord. ∴ PM ... Hence, the distance of the chord from the centre is 5cm.

Find the length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm. -Maths 9th

Description : Find the length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm. -Maths 9th

Last Answer : Let AB be a chord of circle with centre O and radius 13cm. Draw OM perpendicular AB and join OA. In the right triangle OMA, we have OA2 = OM2 + AM2 ⇒ 132 = 122 + AM2 ⇒ AM2 = 169 - 144 ... . As the perpendicular from the centre of a chord bisects the chord.Therefore, AB = 2AM = 2 x 5 = 10cm.

Point A(5, 1) is the centre of the circle with radius 13 units. AB ⊥ chord PQ. B is (2, –3). The length of chord PQ is -Maths 9th

Description : Point A(5, 1) is the centre of the circle with radius 13 units. AB ⊥ chord PQ. B is (2, –3). The length of chord PQ is -Maths 9th

Last Answer : (c) ParallelogramAB = \(\sqrt{(4-7)^2+(5-6)^2}\) = \(\sqrt{9+1}\) = \(\sqrt{10}\)BC = \(\sqrt{(7-4)^2+(6-3)^2}\) = \(\sqrt{9+9}\) = \(3\sqrt2\)CD =\(\sqrt{(4-1)^2+(3-2) ... = \(2\sqrt{13}\)AB = CD, BC = AD and AC ≠ BD ⇒ opposite sides are equal and diagonals are not equal. ⇒ ABCD is a parallelogram.

The radius of a circle is 10cm. The length of a chord is 12 cm. Then the distance of the chord from the centre is `"__________________"`.

Description : The radius of a circle is 10cm. The length of a chord is 12 cm. Then the distance of the chord from the centre is `"__________________"`.

Last Answer : The radius of a circle is 10cm. The length of a chord is 12 cm. Then the distance of the chord from the centre is `"__________________"`.

If The exact area of a circle is 81pi square inches what are the radius and diameter of the circle explain?

Description : If The exact area of a circle is 81pi square inches what are the radius and diameter of the circle explain?

Last Answer : The radius is 9 inches because area of circle is pi*9 squared =81pi square inches and the diameter is twice the radius which is2*9 = 18 inches

For setting out a simple curve, using two theodolites. (A) Offsets from tangents are required (B) Offsets from chord produced are required (C) Offsets from long chord are required (D) None of these

Description : For setting out a simple curve, using two theodolites.  (A) Offsets from tangents are required  (B) Offsets from chord produced are required  (C) Offsets from long chord are required  (D) None of these 

Last Answer : (D) None of these 

For setting out a simple curve, using two theodolites. (A) Offsets from tangents are required (B) Offsets from chord produced are required (C) Offsets from long chord are required (D) None of these

Description : For setting out a simple curve, using two theodolites.  (A) Offsets from tangents are required  (B) Offsets from chord produced are required  (C) Offsets from long chord are required  (D) None of these 

Last Answer : (C) R/20

The chord of a curve less than peg interval, is known as (A) Small chord (B) Sub-chord (C) Normal chord (D) Short chord

Description : The chord of a curve less than peg interval, is known as (A) Small chord (B) Sub-chord (C) Normal chord (D) Short chord

Last Answer : (B) Sub-chord

Perpendicular offset from a tangent to the junction of a transition curve and circular curve is equal to (A) Shift (B) Twice the shift (C) Thrice the shift (D) Four times the shift

Description : Perpendicular offset from a tangent to the junction of a transition curve and circular curve is equal to (A) Shift (B) Twice the shift (C) Thrice the shift (D) Four times the shift

Last Answer : (D) Four times the shift

In a lemniscate curve the ratio of the angle between the tangent at the end of the polar ray and the straight, and the angle between the polar ray and the straight, is (A) 2 (B) 3 (C) 4/3 (D) 3/2

Description : In a lemniscate curve the ratio of the angle between the tangent at the end of the polar ray and the straight, and the angle between the polar ray and the straight, is (A) 2 (B) 3 (C) 4/3 (D) 3/2

Last Answer : (D) 3/2

If V is speed in km/hour and R is radius of the curve, the super-elevation e is equal to (A) V²/125 R (B) V²/225 R (C) V²/325 R

Description : If V is speed in km/hour and R is radius of the curve, the super-elevation e is equal to (A) V²/125 R (B) V²/225 R (C) V²/325 R

Last Answer : Answer: Option B

If V is the design speed in km/hour and R is the radius of the curve of a hill road, the super￾elevation (A) e = V / 127 R (B) e = V² / 127 R (C) e = V ²/ 225 R (D) e = V / 225 R

Description : If V is the design speed in km/hour and R is the radius of the curve of a hill road, the super￾elevation (A) e = V / 127 R (B) e = V² / 127 R (C) e = V ²/ 225 R (D) e = V / 225 R

Last Answer : Answer: Option C

If V is speed of a moving vehicle, r is radius of the curve, g is the acceleration due to gravity, W is the width of the carriageway, the super elevation is (A) WV/gr (B) W²V/gr (C) WV²/gr (D) WV/gr²

Description : If V is speed of a moving vehicle, r is radius of the curve, g is the acceleration due to gravity, W is the width of the carriageway, the super elevation is (A) WV/gr (B) W²V/gr (C) WV²/gr (D) WV/gr²

Last Answer : Answer: Option C

If the length of a transition curve to be introduced between a straight and a circular curve of radius 500 m is 90 m, the maximum deflection angle to locate its junction point, is (A) 1°43' 08" (B) 1°43' 18" (C) 1°43' 28" (D) 1°43' 38"

Description : If the length of a transition curve to be introduced between a straight and a circular curve of radius 500 m is 90 m, the maximum deflection angle to locate its junction point, is (A) 1°43' 08" (B) 1°43' 18" (C) 1°43' 28" (D) 1°43' 38"

Last Answer : (C) 1°43' 28"

The radius of curvature provided along a transition curve, is (A) Minimum at the beginning (B) Same throughout its length (C) Equal to the radius of circular curve (D) Varying from infinity to the radius of circular curve

Description : The radius of curvature provided along a transition curve, is (A) Minimum at the beginning (B) Same throughout its length (C) Equal to the radius of circular curve (D) Varying from infinity to the radius of circular curve

Last Answer : Answer: Option D

The r.m.s. value of pure cosine function is?

Description : The r.m.s. value of pure cosine function is?

Last Answer : 0.707 of peak value

If the length of a transition curve to be introduced between a straight and a circular curve of radius 500 m is 90 m, the maximum perpendicular offset for the transition curve, is (A) 0.70 m (B) 1.70 m (C) 2.70 m (D) 3.70 m

Description : If the length of a transition curve to be introduced between a straight and a circular curve of  radius 500 m is 90 m, the maximum perpendicular offset for the transition curve, is  (A) 0.70 m  (B) 1.70 m  (C) 2.70 m  (D) 3.70 m

Last Answer : (C) 2.70 m