MATH SOLVE

4 months ago

Q:
# if the length of an arc is 12π inches and the radius of the circle us 10 inches, what is the measure of the arc?

Accepted Solution

A:

You're dealing with "arc length" here, and the formula for that is s = r*theta, where r is the radius and theta is the central angle in radians (not degrees).

Thus, s = (12pi inches) = (10 inches)(theta), so

theta = the central angle (not the measure of the arc) = (12pi)/(10 inches), or

theta = 1.2*pi (no units of measurement)

Thus, s = (12pi inches) = (10 inches)(theta), so

theta = the central angle (not the measure of the arc) = (12pi)/(10 inches), or

theta = 1.2*pi (no units of measurement)