Question

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

What is the length of the arc?
Either enter an exact answer in terms of or use 3.14 for it and enter your answer as a decimal.

Answer 1

11 units

Explanation:

The arc length formula is s = rФ, where Ф is the central angle in radians.

This 330 degree central angle must be converted to radians, as follows:

330 π

------- * ------ = 1.8333 rad

1 180

Then the arc length in question is s = rФ, where Ф is the central angle:

Here s = (6 units)(1.8333 rad) = 11 units