PQRS is a diameter of a circle of radius 6 cm The lengths PQ , QR , AND - Maths - Areas Related to Circles

Question

PQRS is a diameter of a circle of radius 6 cm The lengths PQ ,
QR , AND RS are equal semi circles are drawn on PQ and QS as
diameter Find the perimeter and area of the shaded portion,

Varun.Rawat · Accepted Answer

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area of semicircle with diameter PQ , A1= π2PQ22 = π8×16 = 2 π cm2area of semicircle with diameter PS, A2 = π2PQ22 = π8 ×144 = 18 π cm2area of semicircle with diameter QS, A3 = π2QS22 = π8 ×64 =8 π cm2area of shaded region = A1 + A2 - A3 = 2π + 18π - 8π = 12π cm2perimeter = πPQ2 + πQS2 + πPS2 = 2π + 4π + 6π = 12 π cm

PQRS is a diameter of a circle of radius 6 cm . The lengths PQ , QR , AND RS are equal. semi circles are drawn on PQ and QS as diameter. Find the perimeter and area of the shaded portion,