Problem 106
Question
Explain how to find the radian measure of a central angle.
Step-by-Step Solution
Verified Answer
To find the radian measure of a central angle, measure the length of the intercepted arc and the radius of the circle, then divide the length of the arc by the length of the radius.
1Step 1 - Understanding Radian
The radian is a unit of angular measure. The angle subtended by an arc equal in length to the radius of the circle is defined as 1 radian.
2Step 2 - Measure Intercepted Arc
Measure the length of the intercepted arc. If it is not given, use the properties of the circle or related information to determine the value of the intercepted arc.
3Step 3 - Measure Radius
Measure the length of the radius. If it's not given, use the properties of the circle or related information to determine its length.
4Step 4 - Compute The Radian Measure
Divide the length of the intercepted arc by the length of the radius of the circle. The result is the radian measure of the central angle.
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