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he area of the circle that can be inscribed in a square of side 6 cm i

Question

he area of the circle that can be inscribed in a square of side 6 cm i

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Solution

The diameter of a circle that can be inscribed in a square is equal to the side length of the square. This is because the diameter of the circle will be the same length as the side of the square.

So, if the side of the square is 6 cm, then the diameter of the circle is also 6 cm.

The radius of the circle is half of the diameter, so the radius of the circle is 6 cm / 2 = 3 cm.

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

Substituting the radius into the formula, we get:

A = π * (3 cm)² = π * 9 cm² = 28.27 cm² (approximately, using 3.14 as the value of π).

So, the area of the circle that can be inscribed in a square of side 6 cm is approximately 28.27 cm².

This problem has been solved

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