Question

PQRS is the diameter of a circle of radius 6 cm. The lengths PQ, QR and RS are equal. Semi-circles are drawn with PQ and QS as diameters as shown in figure, the ratio of the area of the shaded region to that of the unshaded region is 5:1
If true then enter $1$ and if false then enter $0$

Answer 1

Area of circle = $\pi r^2$ = $36\pi$

$PQ=QR=RS=2cm$

Area of shaded region = $\frac{36\pi }{2}-\frac{1}{2}\pi \times 16$

$=18\pi -8\pi$=$10\pi$

Area of unshaded portion=$36\pi -10\pi =26\pi$

$\frac{Areaofshadedregion}{Areaofunshadedregion}=\frac{10\pi }{26\pi }$

Thus answer is false. 0