2023 · Q96
Consider the following for the next three (03) items that follow: A circle of radius 10 cm is inscribed in a square PQRS. A rectangle measuring 4 cm × 2 cm is drawn at the corner P, and a smaller square is drawn at the corner R. What is the area of the shaded region?
Elementary MathematicsCircles
- A(96 - 25π) square cm
- B(92 - 25π) square cm
- C(96 - 16π) square cm
- D(92 - 16π) square cm
Explanation
The shaded region is the 10 × 10 corner quarter-square (area 100) minus the quarter-circle (25π) minus the 4 × 2 rectangle (area 8): 100 − 25π − 8 = 92 − 25π square cm (B).