Question:
A circle is inscribed in a square of side 10 cm. Find the area of the region between the square and the circle.
A circle is inscribed in a square of side 10 cm. Find the area of the region between the square and the circle.
Updated On: Aug 23, 2024
- 25(4 - π) cm²
- 25(π - 2) cm²
- 50(4 - π) cm²
- 50(π - 2) cm²
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The Correct Option is A
Solution and Explanation
The diameter of the circle is equal to the side of the square.
Diameter = 10 cm
\(r = \frac{\text{Diameter}}{2} = \frac{10 \text{ cm}}{2} = 5 \text{ cm}\)
\(\text{Area of circle} = \pi r^2 = \pi \times 5^2 = 25\pi \text{ cm}^2\)
Area of square = side² = 10² = 100 cm²
Area of the region between the square and the circle:
= Area of square - Area of circle = 100 cm² - 25π cm² = 25(4 - π) cm²
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