Question 41
Mensuration of Plane ShapesIn the diagram, O is the centre of the circle. Reflex angle XOY = 210° and the length of the minor arc is 5.5m. Find, correct to the nearest metre the length of the major arc.
- A.8 m
- B.9 m
- C.10 m
- D.13 m
Show the answer and explanation
Answer: A (8 m)
Explanation
The minor arc has angle 150°. Arc lengths are in proportion to their angles: 5.5 × 210/150 = 7.7 ≈ 8 m.