What is the area of the shaded region?
Consider the following for the next three (03) items that follow:<br>In the figure given below, a circle is inscribed in a square PQRS. A rectangle at the corner P that measures 4\text{ cm} \times 2\text{ cm} and a square at the corner R are drawn.
- A. (96-25\pi) square cm
- B. (92-25\pi) square cm ✓
- C. (96-16\pi) square cm
- D. (92-16\pi) square cm
Correct Answer: B. (92-25\pi) square cm
Explanation
The area of the corner region P outside the circle is R^2 - \frac{\pi R^2}{4} = 100 - 25\pi. Subtracting the rectangle's area (4 \times 2 = 8), the remaining shaded region is 100 - 25\pi - 8 = 92 - 25\pi.
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