Question

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

Answer 1

Answer:

The arc is 3/10 of the circumference

Step-by-step 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

$\frac{1}{2\pi}=\frac{x}{(3\pi/5)}\\\\x=\frac{(3\pi/5)}{2\pi}\\\\x=\frac{3}{10}$