Question 19
Mensuration of Plane ShapesIn the diagram below, O is the centre of the circle of radius 3.5cm, <POQ = 60°. [Take π = 22/7]
What is the length of the major arc PXQ?
- A.22cm
- B.18 1/3cm
- C.11cm
- D.9 1/6
- E.7 1/3cm
Show the answer and explanation
Answer: B (18 1/3cm)
Explanation
The major arc subtends 360° − 60° = 300°. Length = 300/360 × 2 × 22/7 × 3.5 = 5/6 × 22 = 18 1/3 cm.