A square has side 20 cm. One circle is drawn through its four corners and a second circle is drawn inside it touching all four sides. Find the ratio of the area of the larger circle to the area of the smaller circle.

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Accepted Answer

2:1. The circle through the corners has the square's diagonal 20√2 cm as its diameter, so its radius is 10√2 cm and its area is 200π cm². The circle touching the sides has radius 10 cm and area 100π cm². Ratio = 200π : 100π = 2 : 1.

A square has side 20 cm. One circle is drawn through its four corners and a second circle is drawn inside it touching all four sides. Find the ratio of the area of the larger circle to the area of the smaller circle.

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