Find the length of an arc of a circle with radius 12cm if the arc subtends a central angle of 30°.

Solution:

Given a circle with a radius 12cm 

The central angle of 30°

An arc is a part of the circumference of a circle.

Central angle means the angle between two radii

We know that length of arc d = radius × central angle

d = rθ

d = 12cm × 30°

d= 360 radians

Find the length of an arc of a circle with radius 12cm if the arc subtends a central angle of 30°.

Summary:

The length of an arc of a circle with radius 12cm if the arc subtends a central angle of 30° is 360 radians.