Question

Arc are subtends a central angle measuring 3pi/5 radians . What fraction of the circumference is this arc?

Answer 1

The arc is 3/10 of the circumference

Explanation:

we know that

The complete circumference subtends a central angle of 2π radians

so

using proportion

Find out what fraction of the circumference represent an arc with a central angle of 3pi/5 radians

`(1)/(2\pi)=(x)/((3\pi/5))\\\\x=((3\pi/5))/(2\pi)\\\\x=(3)/(10)`