A chord of a circle of radius 20 cm subtends an angle of 90° at the centre. Find the area of the corresponding major segment of the circle. -Maths 10th

A chord of a circle of radius 20 cm subtends an angle of 90° at the centre. Find the area of the corresponding major segment of the circle. -Maths 10th
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Answer :

Area of the minor segment = { pi × 90 /360 - sin 45 × cos 45 } × r × r ={ 3.14 ×1/4 - 1÷√2 ×1÷√2 } × 20 × 20 = { 3.14 × 1/4 - 1÷2 } × 400 = 3.14 × 400 ÷ 4 - 400 ÷ 2 = 3.14 × 100 - 200 = 314-200 =114   Area of circle = pi × r × r = 3.14 × 20 × 20 = 3.14 × 400 = 1256   Area of major segment = area of circle - area of minor segment = 1256 - 114 = 1142   HOPE IT HELPS YOU
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Is polynomial y4 + 4y2 + 5 have zeroes or not? -Maths 10th

Description : Is polynomial y4 + 4y2 + 5 have zeroes or not? -Maths 10th

Last Answer : Y4+4y2+5=y4+4y2+4 +1 =(y2+2)2+1 The first term being square,it will be equal to zero or greater than zero. Therefore (y2+2)2+1 will not be zero for any value of y. Therefore given polynomial have no zeroes.

Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2x3 – 4x2 + 6x – 3 so that it is exactly divisible by x2 – x + 1. -Maths 10th

Description : Find the polynomial of least degree which should be subtracted from the polynomial x4 + 2x3 – 4x2 + 6x – 3 so that it is exactly divisible by x2 – x + 1. -Maths 10th

Last Answer : Here, p(x) = x4 + 2x3 - 4x2 + 6x - 3, g(x) = x2 - x +1 On dividing p(x) by g(x) Therefore (x-1) must be subtracted from the polynomial p(x) to make it divisible by g(x).

If the product of two zeroes of polynomial 2x3 + 3x2 – 5x – 6 is 3, then find its third zero. -Maths 10th

Description : If the product of two zeroes of polynomial 2x3 + 3x2 – 5x – 6 is 3, then find its third zero. -Maths 10th

Last Answer : The third zero is 1. Step-by-step explanation: Given the polynomial The product of two zeroes is 3 we have to find the third zero As product of two zeroes is 3 Let ab=3 Therefore, 3c=3 ⇒ c=1 hence, the third zero is 1.

If one zero of the polynomial 5z2 + 13z – p is reciprocal of the other, then find p. -Maths 10th

Description : If one zero of the polynomial 5z2 + 13z – p is reciprocal of the other, then find p. -Maths 10th

Last Answer : The value of p is -5 Step-by-step explanation: Given that if one zero of polynomial is reciprocal of the other then we have to find the value of p. a=5, b=13 and c=-p since the zeroes are reciprocal to each other. therefore their product must be 1 ⇒ ⇒ Hence, the value of p is -5