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What is the area of the circle that can be inscribed in a square of side $6 cm ?$

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9 π c m^{2}

8 π c m^{2}

7 π c m^{2}

6 π c m^{2}

answer is A.

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Detailed Solution

Given, side of square

= 6 cm

.
The area of the circle is

π r 2

.
Diameter of a circle, square

= 6 cm

.
So, Radius of a circle is,

r = d 2 ⇒ 62 ⇒ 3 cm

Area of circle ⇒ π (r) 2 ⇒ π (3) 2 ⇒ 9 π cm 2

Therefore, the area of the circle is

9 π cm 2

.
Hence the correct option is 1.

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