Question:
The area of the circle that can be inscribed in a square of side 6 cm is
(a) 36π cm2
(b) 18π cm2
(c) 12π cm2
(d) 9π cm2
Solution:
(d) Given, side of square $=6 \mathrm{~cm}$
$\therefore$ Diameter of a circle, $(d)=$ Side of square $=6 \mathrm{~cm}$
$\therefore \quad$ Radius of a circle $(r)=\frac{d}{2}=\frac{6}{2}=3 \mathrm{~cm}$
$\therefore \quad$ Area of circle $=\pi(r)^{2}$
$=\pi(3)^{2}=9 \pi \mathrm{cm}^{2}$