Multiple choice

A sector is cut off from a circle of radius 21 cm. If the central angle of the sector is 300, then the length of the arc is

  1. 11 cm

  2. 22 cm

  3. 36 cm

  4. 54 cm

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

Arc length = (theta/360) * 2 * pi * r. Arc length = (30/360) * 2 * (22/7) * 21 = (1/12) * 2 * 22 * 3 = 11 cm.

AI explanation

Using the arc length formula l = (theta/360) * 2 * pi * r, substitute r = 21 cm and theta = 30 degrees to get l = (30/360) * 2 * (22/7) * 21. Simplifying the fraction 30/360 gives 1/12. The circumference is 2 * (22/7) * 21 = 132 cm. Dividing 132 cm by 12 gives an arc length of 11 cm. The length of the arc is 11 cm.