Question

A circle has a radius of 10. An arc in circle has a central angle of 72 what is the length of the arc

Answer 1

4π

Explanation:

-A circle subtends a total angle of 360 ° from its center.

-The length of an arc is directly proportional to the angle it subtends from the circle's center.

#The arc's length can therefore be calculated as:

`C=\pi D=2\pi r\\\\\therefore C=(72\textdegree)/(360\textdegree)* 2\pi * 10\\\\=4\pi`

Hence, the length of the arc is 4π