Question 14
Mensuration of Plane ShapesAn arc of a circle of radius 7.5 cm is 7.5 cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take π = 22/7]
- A.29°
- B.57°
- C.65°
- D.115°
Show the answer and explanation
Answer: B (57°)
Explanation
θ/360 × 2 × 22/7 × 7.5 = 7.5 gives θ = 360 × 7/44 ≈ 57.3°, i.e. 57°.