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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).

If the arc length shown is 1875 cm and the radius of the circle is 5 cm find Θ to the nearest hundredth of a degree 20 points class=

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Answer:

Step-by-step 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)

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