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An arc subtends a central angle measuring \dfrac{3\pi}{5}

5





start fraction, 3, pi, divided by, 5, end fraction radians.

What fraction of the circumference is this arc?

of the circumference


S

User Garnaat
by
8.3k points

1 Answer

4 votes

Answer:

3/10

Explanation:

The central angle of the arc is
(3 \pi)/(5).

The circumference of an arc of a circle is given as:


C_a = (\theta)/(2 \pi) * C

where C= circumference of the circle

θ = central angle of the arc

Therefore, the circumference of the arc is:


C_a = ((3 \pi)/(5) )/(2 \pi) * C\\\\C_a = (3 \pi)/(10 \pi) * C\\\\C_a = (3)/(10)C

The circumference of the arc will be 3/10 of the circumference of the circle.

User Alinpopescu
by
7.4k points
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