Question 17
Mensuration of Plane ShapesA sector of a circle which subtends 172° at the centre of the circle has a perimeter of 600 cm. Find, correct to the nearest cm, the radius of the circle. [Take π = 22/7]
- A.120 cm
- B.116 cm
- C.107 cm
- D.100 cm
Show the answer and explanation
Answer: A (120 cm)
Explanation
Arc = 172/360 × 2 × 22/7 × r ≈ 3.003r. Perimeter = arc + 2r = 5.003r = 600, so r ≈ 120 cm.