Question 41
Mensuration of Plane ShapesIn the figure above, PQR is a semicircle. Calculate the area of the shaded region.
- A.125 2/7cm2
- B.149 2/7cm2
- C.243 1/7cm2
- D.267 1/2cm2
Show the answer and explanation
Answer: A (125 2/7cm2)
Explanation
OS = √(62 + 82) = 10cm, which is also the diameter PR. Shaded area = rectangle 11 × 10 + semicircle ½ × 22/7 × 52 − triangle ½ × 6 × 8 = 110 + 39 2/7 − 24 = 125 2/7cm2.