Question

Find the length of the arc of the circle.

Answer 1

25.12 in

Explanation:

In the given circle

• radius (r) = 12 in

• central angle
  `(\theta) = 120\degree`

• Formula for length of arc is given as:

• 
  `l=(\theta)/(360\degree)* 2\pi r`

• Plugging the values of r and
  `\theta` in the above equation, we find:

• 
  `l=(120\degree)/(360\degree)* 2(3.14) (12)`

• 
  `\implies l=(1)/(3)* 2(3.14) (12)`

• 
  `\implies\huge\red{ l=25.12\:in}`