Question

A circle has a central angle EOG that measures 60° and a radius of 15 feet. What is the length of the intercepted arc EG?

Answer 1

Length of intercepted arc `EG` is `15.708` feet

Explanation:

As the radius is `15` feet

its circumference will be `2xxpixx15=30xx3.1416` feet

ths covers `360^o` of arc

hence each degree covers `30xx3.1416/360` feet

and as arc `EG` subtends an angle of `60^o`.

Length of intercepted arc `EG` is `(30xx3.1416xx60)/360` feet

= `(30xx3.1416xxcancel60)/(6cancel360)` feet

= `(5cancel30xx3.1416)/(1cancel6)` feet

= `15.708` feet