Solve the problem.
-Find the length of the arc intercepted by a central angle of 264° in a circle of radius 6 mi. Round to two decimal places, if necessary.
A) 0.77 mi
B) 1.3 mi
C) 27.65 mi
D) 1584 mi

Question

Quizplus · Accepted Answer

The length of an arc (s) intercepted by a central angle (θ) in a circle of radius (r) is given by the formula $s = r \theta$ when θ is in radians. To use degrees, the formula is modified to $s = \frac{\pi}{180} r \theta$. For a radius of 6 miles and an angle of 264°, the calculation is $s = \frac{\pi}{180} \times 6 \times 264 = 27.65$ miles.

Solve the Problem. -Find the Length of the Arc Intercepted by a Central