Question

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?

Answer 1

Answer: 31.43 cm

Explanation:

The length of an arc is calculated using the formula:

`(theta)/(360)` X 2
`\pi`r

where : theta is the angle in degree

r = radius

If the angle is given in Radian , the length can be calculated using the formula:

L = r∅

Since , the angle is given in degree , we will use the first formula.

L =
`(theta)/(360)` X 2
`\pi`r

L =
`(120)/(360)` X 2 X π X 15

L =
`(1)/(3)` X 2 X
`(22)/(7)` X 15

L =
`(660)/(21)`

L = 31.42857143

L ≈ 31.43 cm