Question

What is the measure of the central angle of a circle with radius 24 ft that intercepts a 10 ft arc? Use 3.14 for π . Round the answer to the hundredths place. Enter your answer in the box.

Answer 1

Answer: 23.89 degrees

The full circle has the circumference as follows:

$2\pi r = 2\pi\cdot 24\mbox{ft}=150.72\mbox{ft}$

The ratio of 10 ft to the full 150.72 ft is the same as the ratio of the angle x to the full angle 2pi (or 360 degrees):

$\frac{10}{150.72}=\frac{x}{2\pi}\\x = 2\pi\cdot\frac{10}{150.72} = 360 ^\circ\cdot\frac{10}{150.72}=23.89^\circ$

Answer 2

Answer:

23.89 degrees

Step-by-step explanation:

Took the test