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

Step-by-step explanation:

The length of an arc  is calculated using the formula:

$\frac{theta}{360}$ 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 = $\frac{theta}{360}$ X 2$\pi$r

L = $\frac{120}{360}$ X 2 X π X 15

L = $\frac{1}{3}$ X 2 X $\frac{22}{7}$ X 15

L = $\frac{660}{21}$

L = 31.42857143

L ≈ 31.43 cm