Question

In the figure above, the circle has a circumference of 12 straight pi. If the angle at the center of the circle has a measurement of 60 degree, what is the length of the arc created by the angle?

Answer 1

The formula for arc length which is measured in units not degrees is
`( \beta )/(360) *2 \pi r`. Our central angle is 60 and our radius is 6. Of course the 2 pi r in our formula is already given to us as 12 pi. So we sub in accordingly:
`(60)/(360)*12 \pi` and when you do that math and multiply in pi, you get that the arc length that is intercepted by that 60 degree angle is 6.28 units.