Multiple choice

An arc of length 44 cm subtends an angle of 60° at the centre of a circle. What is the radius of the circle?

  1. 21 cm

  2. 14 cm

  3. 7 cm

  4. 42 cm

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

Arc length L = (theta/360) * 2 * pi * r. 44 = (60/360) * 2 * (22/7) * r. 44 = (1/6) * (44/7) * r. 44 = (44/42) * r. r = 42 cm.

AI explanation

Using the arc length formula, l equals theta divided by 360 multiplied by 2 times pi times r. Setting this up with the given values, 44 equals 60 divided by 360 multiplied by 2 multiplied by 22 divided by 7 multiplied by r. Solving for r, we get r equals 44 multiplied by 6 multiplied by 7 divided by 44, which results in a radius of 42 cm.