Question

Find the length of the arc with central angle of 205° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.

12.52 cm
25.03 cm
87.61 cm
153.86 cm

Answer 1

The length of the arc with a central angle of 205° is 25.03 cm

Length of an arc

The formula for calculating the length of an arc is expressed as:

L = rtheta

Given the following parameters

r = 7cm

theta = 205° = 3.57792 radians

L = 7(3.57792)

L = 25.04544

Hence the length of the arc with a central angle of 205° is 25.03 cm

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