An arc of length 33π cm subtends an angle of 132° at the centre of the circle. Find the radius of the circle.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 45 cm.
Arc length = 33π cm
Angle = 132°
Arc length = (θ / 360) × 2πr
33π = (132 / 360) × 2πr
33 = (132 / 360) × 2r
33 = (11 / 30) × 2r = 22r / 30
33 = 22r / 30
r = (33 × 30) / 22 = 45