6The arc length shown in blue is 15 feet 5 15 feet 5 5 5 Par

6.The arc length shown in blue is 15 feet. 5 15 feet .5 5 .5 Part 1: Use the formula for arc length to find the angle in radians. (6 points) Part II: Convert this angle measurement to degrees, giving your answer to the nearest hundredth of a degree. (6 points)

Solution

From the diagram we observe that ,

Radius = 5 feet r

Arc length = 15 feet. l

Given angle of arc =

l = r*

15 = 5*

= 15/5 = 3 radians.

So the angle is 3 radians.

Part 2 :

We need to convert to radians. =3*180/ =171.887 degrees.