Question

Find the radian measure of the central angle of a circle of radius r=50 inches that intercepts an arc of length s=30 inches

Answer 1

The radian measure of the central angle is 0.6 radians.

Step-by-step explanation:

To find the radian measure of the central angle of a circle, we use the formula:

angle = arc length / radius

Given that the radius (r) is 50 inches and the arc length (s) is 30 inches, we can substitute these values into the formula:

angle = 30 inches / 50 inches = 0.6 radians

Therefore, the radian measure of the central angle is 0.6 radians.