Multiple choice

A piece of wire in the form of an arc of a circle of radius 6 cm, subtends 1500 at the centre. The wire is bent into a complete circle.Find the radius of the circle.

  1. 2 cm.

  2. 3 cm.

  3. 2.5 cm

  4. 1.8 cm.

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Arc length of a sector = (θ/360) × 2πr, where θ is the central angle. Here arc length = (150/360) × 2π × 6 = 5π cm. When bent into a full circle, circumference = 2πR = 5π, giving R = 2.5 cm. Options A, B, and D are calculation errors.