What is the measure of the central angle of a circle with radius 60 cm the intercepts a 15 pi centimeters arc
1 answer:
The measure of the central angle of a circle is 45⁰
<h3>What is Angle?</h3>
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.
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