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3 years ago

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

Mathematics

1 answer:

Fofino [41]3 years ago

6 0

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

using proportion

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

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

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