Question

The length of an arc of a circle is 6.28 units, and the measure of the corresponding central angle is 1.12 radians. What is the radius of the circle? Round the answer to two decimal places.

Answer 1

The equation thal relates the angle (theta) to the arclength (s) is:\[r \theta=s\]Where r is the radius of the circle. If you solve that equation for r you get:\[r=\frac{ s }{ \theta }=\frac{ 6.28 units }{ 1.12rad }=5.60units\]