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Home / A circle is inscribed in a square with a side length of 10 cm. Find the area of the shaded region between the square and the circle.

A circle is inscribed in a square with a side length of 10 cm. Find the area of the shaded region between the square and the circle.

February 22, 2026

A circle is inscribed in a square with a side length of 10 cm. Find the area of the shaded region between the square and the circle.

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Factor: \( (x - 2)(x - 3) = 0 \).
Roots: \( x = 2 \) and \( x = 3 \).
Product of roots: \( 2 \times 3 = 6 \).
Area of the square: \( 10^2 = 100 \) square centimeters.
Radius of the circle: \( \frac{10}{2} = 5 \) cm.
Area of the circle: \( \pi \times 5^2 = 25\pi \) square centimeters.

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