Question

The area of the circle that can be inscribed in a square of side 6 cm is

• A. 36 $\pi c{m}^2$
• B. 18 $\pi c{m}^2$
• C. 12 $\pi c{m}^2$
• D. 9 $\pi c{m}^2$

Answer 1

The correct option is D 9 $\pi c{m}^2$

$Solution-Weknowthatthediameterofthecircleinscribedinasquare=onesideofthesquare.\therefore PQ=onesideofthesquare=6cm.Sotheradiusr=\frac{PQ}{2}=\frac{6}{2}cm=3cm.\therefore Itsarea=\pi r^2={\pi \times 3}^2{cm}^2=9\pi {cm}^2.Ans-Option-D.$