Question

pqrs is a diameter of a circle of radius 6cm.The equal lenghts PQ,QR and RS are drawn on PQ and QS as diameters,as shown in the figure.Find the perimeter of the shaded region​

Answer 1

Step-by-step explanation:

Perimeter of the shaded region = (perimeter if semicircle with dia=PS)−

(perimeter if semicircle with dia=QS)+

(perimeter if semicircle with dia=PQ)$$

PS=6cm

PQ=QR=RS

PQ+QR+RS=6

∴PQ=QR=2

=π (PS/2) - π (QS/2) + π (PQ/2)

=(π) (6/2) -(π) (4/2) +π(2/2)

=3π−2π+π

=2π cm

=6.25 cm

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