Multiple choice

The length of an arc, which subtends an angle of 120° at the centre of a circle with radius 63 cm is ______.

  1. 264 cm

  2. 132 cm

  3. 198 cm

  4. 396 cm

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

Arc length = (Angle/360) * 2 * pi * radius = (120/360) * 2 * (22/7) * 63 = (1/3) * 2 * 22 * 9 = 132 cm.

AI explanation

The formula for the length of an arc is theta divided by 360 multiplied by 2 pi r. Substituting the given values gives 120 divided by 360 multiplied by 2 multiplied by 22 divided by 7 multiplied by 63. Simplifying this yields 132, so the length of the arc is 132 cm.