A circle is drawn inside a square of side 20 cm so that it touches all four sides, and a smaller square is then drawn inside that circle with its four vertices on the circle. Find the area of the region lying inside the circle but outside the smaller square, in cm². Take π = 3.14.

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Accepted Answer

114. The circle touches the sides of the big square, so its radius is 10 cm and its area = 3.14 × 100 = 314 cm². The smaller square has the circle's diameter, 20 cm, as its diagonal, so its area = ½ × 20² = 200 cm². Region between them = 314 − 200 = 114 cm².

A circle is drawn inside a square of side 20 cm so that it touches all four sides, and a smaller square is then drawn inside that circle with its four vertices on the circle. Find the area of the region lying inside the circle but outside the smaller square, in $cm^{2}$ . Take π = 3.14.

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More Areas & Volumes practice

A circle is drawn inside a square of side 20 cm so that it touches all four sides, and a smaller square is then drawn inside that circle with its four vertices on the circle. Find the area of the region lying inside the circle but outside the smaller square, in cm2. Take π = 3.14.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

A circle is drawn inside a square of side 20 cm so that it touches all four sides, and a smaller square is then drawn inside that circle with its four vertices on the circle. Find the area of the region lying inside the circle but outside the smaller square, in $cm^{2}$ . Take π = 3.14.