Find the measure of a central angle that intercepts an arc of 27 inches in a circle whose radius is 10 inches.0.27 rad2.7 rad27 rad270 radNEXT QUESTION ASK FOR HELPTURN IT IN© 2008, 2009, 2011 Glynlyon, Inc.TERMS OF USE
Question
Find the measure of a central angle that intercepts an arc of 27 inches in a circle whose radius is 10 inches.0.27 rad2.7 rad27 rad270 radNEXT QUESTION ASK FOR HELPTURN IT IN© 2008, 2009, 2011 Glynlyon, Inc.TERMS OF USE
Solution
To find the measure of a central angle that intercepts an arc of 27 inches in a circle with a radius of 10 inches, we can use the formula:
angle = (arc length / radius)
Plugging in the values, we get:
angle = (27 inches / 10 inches)
Simplifying this, we find:
angle = 2.7 radians
Therefore, the measure of the central angle is 2.7 radians.
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