If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.
Mensuration
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Question

If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.

KnowledgeBoat · Accepted Answer

Let `a` be the side of the square. By using the Pythagoras theorem, AB² \+ BC² = AC² ⇒ a² \+ a² = AC² ⇒ AC² = 2a² ⇒ AC = a Diagonal of the square = Diameter of the circle d = a Radius, r = = Now, the ratio of the area of the circle to the area of the square is: Hence, the ratio of the area of the circle to the area of the square is 11 : 7.

Mathematics

If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.

Mensuration

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If a square is inscribed in a circle, find the ratio of the areas of the circle and the square.

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