Concept explainers
Find the radian measure of the central angle of a circle of radius 6 centimeters that intercepts an arc of length27 centimeters.
To calculate: The radian measure of the central angle of the provided circle of radius 6 cm that intercepts an arc of length 27 cm.
Answer to Problem 1RE
Solution:
The radian measure of the central angle made by the arc is
Explanation of Solution
Given information:
The radius of the circle = 6 cm
Length of arc = 27 cm
Formula used:
Calculation:
We know that the measure of the angle made by the arc at the center is:
Hence, the radian measure of the central angle made by the arc is
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