Question

In a circle with a radius of 15 cm, the measure of an arc is 150 degrees. Find the length of the arc

Answer 1

First you find the circumference:
C=2
`\pi`r=2(3.14)15=94.2 cm

Then you figure out the ratio of 150 to the entire circle:
150/360=5/12.

Then multiply:
5/12*94.2= 39.25 cm.

Therefore, the length of the arc if about 39.25cm.