find the length of the arc

Question

Find the length of the arc subtended by a central angle 210° on a circle of radius 6 cm.

Answer 1

The circumference of a circle is 2πr, where r is the radius, and there are 360° in a circle.

Let s be the arc length.

Then, s / (2π(6)) = 210 / 360.

s / (12π) = 7 / 12

12s = 84π

s = 7 cm