A circle has a radius of 48 millimeters. What is the central angle in radians, that intercepts an arc of length 36π millimeters?
2 answers:
Arc length= radius x angle
36pie=48 x angle
divide both side by 48
you get 3/4pie
Answer:

Step-by-step explanation:
The formula for length of intercepted arc is

where, r is the radius of the circle and θ in the central angle in radian.
Radius of the circle = 48 millimeters
Length of intercepted arc = 36π millimeters
Substitute the given values in the above formula.

Divide both sides by 48.


Therefore, the measure of central angle is
.
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