Problema Solution
The arc of a circle with a radius of 5 has a length of 15/7π, what is the measure of the corresponding central angle in radians?
Answer provided by our tutors
Let
R = 5 the radius of the circle
L = (15/7)π the length of the arc
a = the corresponding central angle in rad
L = (2Rπ)(a/2π)
(2Rπ)(a/2π) = (15/7)π
aR = (15/7)π
plug R = 5 into aR = (15/7)π
5a = (15/7)π
a = (3/7)π rad
The measure of the corresponding central angle is (3/7)π rad.