Question

A sector has a radius of 12 cm and an angle of 65 degrees. Find its arc length to the nearest tenth of a cm.

Answer 1

Walt, this is the solution:

First, let’s find the fraction of the circle’s circumference our arc length is.

65/360 = 13/72 = 0.1806

Second, we need to find the circumference, this way:

C = 2πr

C = 2π * 12

C = 24π

C = 75.3982 cm

Now, we can calculate the Arc length:

Arc length = 75.3982 * 0.1806

Arc length = 13.6 cm (Rounding to the next tenth)