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The area of the circle that can be inscr...

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

A

`36pi cm^(2)`

B

`18pi cm^(2)`

C

`12pi cm^(2)`

D

`9pi cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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)`
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