A circle has a radius of 5 feet and a central angle AOB that measures 10°. What is the length of the intercepted arc AB? Use 3.1

Question

victus00 [196]

3 years ago

5

A circle has a radius of 5 feet and a central angle AOB that measures 10°. What is the length of the intercepted arc AB? Use 3.1

4 for pi and round your answer to the nearest tenth.

Chemistry

1 answer:

algol [13] · Answer 1 · 2022-05-30T06:44:45+03:00

We are asked to solve for the arc length of the intercepted arc and the formula is shown below:
Arc length = 2*pi*r(central angle/360°)
r = 5 feet
central angle = 10°

Solving for the arc length, we have:
Arc length = 2*3.14*5 (10/360)
Arc length = 0.872 feet

The arc length is 0.872 feet.