A circle has a radius of five an arc in the circle has a central angle of 162 what is the length of the arc enter an exact answer in terms of pie or use with 3.14 for pie and en…

Question

asked Dec 11, 2021 216k views

1 Answer

CMVR · Answer 1 · 2021-12-16T20:12:44+0000

Answer:

Length of arc = 14.13

Explanation:

Given:

Radius of circle, r = 5

An arc in the circle has a central angle of 162°

To find the length of the arc, L, let's use the formula:

$L = 2\pi r (\theta)/(360)$

Where
$\theta$ = 162°

Therefore, substituting figures, we have:

L = 2*3.14*5 ((162)/(360))

L = 31.4 * 0.45

L = 14.13

Length of arc is 14.13 units