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

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Solution

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

1 $36 π {cm}^{2}$

2 $18 π {cm}^{2}$

3 $12 π {cm}^{2}$

4 $9 π {cm}^{2}$

Ans.
(4)

ABCD is a square of side 6 cm. PQ is a diameter of the given circle such that $P Q = A B = 6 c m$

$∴$ $Radius (r) = \frac{6}{2} = 3 cm$

$Area of the circle = π r^{2} = π {(3)}^{2} = 9 π {cm}^{2} .$

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