finding the central angle?

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
Radius=17 feet
Arc length=10 feet

royindia2008-11-08T11:51:52Z

Favorite Answer

angle = arc/radius
10/17
=0.58...radians

{M}2008-11-08T11:52:10Z

The circumference of your circle is 34pi
So the fraction of the circle that this arc takes up is 10/(34pi)

The fraction of your circle that the angle takes up is (theta)/(2pi)

These fractions should be the same, so solve
10/(34pi) = (theta)/(2pi)

hope this helps!