Anonymous

# Area of a sector?

How do I find the area of a sector when given angle of 30 degrees and length of arc as 6 pi?

Relevance

30/360 = 1/12 of a complete circle.

If the arc is 6pi, the circumference is 12 * 6 pi = 72 pi.

divide by pi to get the diameter: 72.

The radius is half that, or 36.

The area of the complete circle is pi * 36^2, or 1296 pi. The area of the sector is 1/12th of that.

1296pi / 12 = 108 pi

But you'll need to tack on the units to that answer.

108 pi square meters?

108 pi square inches?