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

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Solution

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

1 $36 π {cm}^{2}$

2 $18 π {cm}^{2}$

3 $12 π {cm}^{2}$

4 $9 π {cm}^{2}$

Ans.
(4)

Let a circle with centre at O, having radius r, is inscribed in a square of side 6 cm as shown in Fig.

$D i a m e t e r o f t h e c i r c l e = 6 c m \Rightarrow 2 r = 6 \Rightarrow r = 3 cm Area of circle = {πr}^{2} = π \times (3)^{2} = 9 π {cm}^{2}$

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