Question

If the arc length shown is 18.75 cm and the radius of the circle is 5 cm, find Θ to the nearest hundredth of a degree (20 points).

Answer 1

Explanation:

The formula for arc length (s) of a circle of radius r is s = rФ.

Solving for the angle, Ф, we get:

s

Ф = -----------

r

which in this case is

18.75 cm

Ф = --------------- = 3.75 radians

5 cm

Convert 3.75 radians to degrees:

180 degrees

3.75 rad * ---------------------- = 214.86 degrees (nearest hundredth of a

pi rad degree)