If a circle and a square have the same perimeter then ........

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If a circle and a square have the same perimeter, then

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CAPF 2019 Paper-1

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their areas are equal

the area of the circle is greater than the area of the square

the area of the square is greater than the area of a circle

the area of the circle is two times the area of the square

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Explanation:

Let the length of a side of square be a, and the radius of the circle be r. Since the square and circle have the same perimeter. Therefore, 2πr=4a ⇒ r= 2a/π T hus, Area of the circle/Area of the square = π r ^ 2 / a^2 = π⋅ (4a^2/ π^2) / a2 = 4/π > 1 Hence, the area of the circle is greater than the area of the square

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