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

Options

A. `36pi cm^(2)`
B. `18pi cm^(2)`
C. `12pi cm^(2)`
D. `9pi cm^(2)`

Answer

D

Explanation

Given, side of square = 6cm
`:.` Diameter of a circle, (d) = side of square = 6cm

`:.` Radius of a circle (r ) = `(d)/(2)=(6)/(2) = 3cm`
`:.` Area of circle= `pi (r )^(2)`
= `pi (3)^(2) = 9picm^(2)`