Question

What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc

Answer 1

The measure of the central angle of a circle is 45⁰

What is Angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Here,

Theta (angle) θ = arc length / radius

θ = 15 π / 60 cm

θ =  0.79 radians

Convert to degrees

θ = 0.79 radians = 0.79 X 180/ π

                     = 0.79 X 180/ 3.14

                     = 45⁰

Thus, the measure of the central angle of a circle is 45⁰.

Learn more about Angle from:

brainly.com/question/7116550

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