2 Answers

Manis · Answer 1 · 2021-05-22T07:09:05+0000

Answer:

The length of the arc is 14.13 meter.

Explanation:

Given : A circle has a radius of 5. An arc in this circle has a central angle of 162º.

To find : What is the length of the arc?

Solution :

The circumference of circle is
$C=\pi d$

Radius is r=5

Diameter is d=10

Circumference is
$C=10\pi$

The angle is 162º.

The length of the arc is given by,

$l=\frac{\text{Central angle}}{360}* C$

The length of the arc is

$l=(162)/(360)* 10\pi$

$l=0.45* 10\pi$

l=14.13

Therefore, the length of the arc is 14.13 meter.

Please log in or register to add a comment.