A circle has a radius of 2cm Find the length of s of the arc

A circle has a radius of 2cm. Find the length of s of the arc intercepted by a central angle of 66 degrees.

Do not round any intermediate computations, and round your answer to the nearest tenth.

Solution

soution:

A full circle (360°) has a circumference of 2r, so an arc intercepted by an angle of 66° has a length that is 66/360 of the circumference.

Arc length = (2*2)*66/360 = 0.7333333333 cm = 2.3038346126 cm