what is the length of the arc?

Question

A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees.

What is the length of the arc?

Either enter an exact answer in terms of π pi or use 3.143, point, 14 for π pi and enter your answer as a decimal.

Answer 1

central angle = length of arc

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360 degrees circumference of circle

330 = length of arc

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360 2*PI*radius

11 = length of arc

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12 12*PI

length of arc * 12 = 11*12*PI

length of arc = 11*PI = 11 * 3.14 = 34.54