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PQRS is a diameter of a circle of radius 6cm. the lengths PQ , QR , and RS are equal .Semicircles are drawn on PQ and QS as diameters. Find the perimeter of the shaded region ??

PQRS is a diameter of a circle of radius 6cm the lengths PQ QR and RS are equal Semicircles are drawn on PQ and QS as diameters Find the perimeter of the shaded class=

Respuesta :

[tex]r=6 \\d=2r=12 \\PQ=QR=RS= \frac{d}{3} = \frac{12}{3} =4 \\ \\P= \frac{1}{2}\times 2r\pi+\frac{1}{2}\times 2\times QR\times\pi+\frac{1}{2}\times 2 \frac{PQ}{2} \pi \\ \\P=r\pi+QR\times\pi+\frac{PQ}{2} \pi \\ \\P=6\pi+4\pi+\frac{4}{2} \pi \\ \\P=12\pi[/tex]
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