What is the shaded sector of the if radius is 3 and the degrees is 90?

1 Answer

Answer :

It depends whether the UNSHOWN figure has the shaded sector asthe sector which includes the 90° angle, or the one which excludesit.Assuming that it is the sector including the 90° angle, ie thequestion should have been written:What is the area of a sector of a circle with a radius of 3units when the angle of the sector is 90°?It is a fraction of the whole area of the circle.The fraction is 90°/360° (as there are 360° in a full turn andonly 90° are required) = 1/4Area circle = π × radius² = π × (3 units)² = 9π square units→ area 90° sector = ¼ × area circle= ¼ × 9π square units= 9π/4 square units≈ 7.1 square units

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