Question

A circle has a radius of 6. An arc in this circle has a central angle of 48 degress. What is the length of the arc?

Answer 1

The answer would be 1.6pi

Answer 2

Answer: $1.6\pi$

Step-by-step explanation:

If a circle has a radius of 6, then the perimeter of the circle is 12pi, or about 37.68.  A circle has 360 degrees.  Thus, the arc takes up 48/360 of the circle.  Thus, simply multiply $\frac{48}{360} * 12\pi$ to get 5.024 or 1.6pi.

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