1
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Question

# A circle is inscribed in a square. If the area of the square is 36 sq. units, what is the area of the circle?

A
6π
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B
9π
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C
12π
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D
18π
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E
36π
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Solution

## The correct option is B 9πArea of square with side a is a2 and area of circle with radius r is πr2.Area of square = 36 sq units. Hence, side = √36=6 units.As circle is inscribed in square, so the diameter of the circle = 6.If the diameter of the circle is 6 then the radius of the circle is 3 as the radius is half of diameter.Hence, the area of the circle is π(3)2=9π.

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