PQRS is a diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semicircles are drawn on PQ and QS as diameters as
shown in figure. Find the perimeter of the shaded region.
pls clarify with proper steps
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Answer:
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)(
2
PS
)−π(
2
QS
)+(π
2
PQ
)
=(π)(
2
6
)−π(
2
4
)+(π
2
2
)
=3π−2π+π
=2π cm
=6.25 cm
Step-by-step explanation:
I hope it will help you and clear some confusion
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