Question 31
Mensuration of Plane ShapesThe length of an arc of a circle of radius 3.5 cm is 1 19/36 cm. Calculate, correct to the nearest degree, the angle subtended by the arc at the centre of the circle. [Take π = 22/7]
- A.55°
- B.36°
- C.25°
- D.22°
Show the answer and explanation
Answer: C (25°)
Explanation
The circumference is 2 × (22/7) × 3.5 = 22 cm. θ = (55/36) ÷ 22 × 360° = 25°.