Question 33
Mensuration of Plane ShapesXYZ is a circle with center O and radius 7cm. Find the area of the shaded region. [π = 22/7]
- A.84cm2
- B.77cm2
- C.38cm2
- D.14cm2
Show the answer and explanation
Answer: D (14cm2)
Explanation
∠XZY = 45°, so ∠XOY = 90°. Shaded segment = sector − triangle = ¼ × 22/7 × 49 − ½ × 7 × 7 = 38.5 − 24.5 = 14cm2.