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

Answer:

4π

Step-by-step 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:

$C=\pi D=2\pi r\\\\\therefore C=\frac{72\textdegree}{360\textdegree}\times 2\pi \times 10\\\\=4\pi$

Hence, the length of the arc is 4π