Question

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 enter your answer as a decimal

Answer 1

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