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Elmarco · Answer 1 · 2019-04-28T07:34:33+0000

Answer:

The correct answer option is c.
$3\pi$ .

Explanation:

We are given a circle with a minor angle of 135 degrees and its radius 4 and we are supposed to find the length of the indicates (minor) arc in radians.

So first, we will divide the angle of the arc by 360° to find the fraction of the circle's circumference that the arc makes up.

(135)/(360) = (3)/(8)

Next we will multiply this fraction by the circumference of the circle, keeping pi as it is:

Length of the arc =
$(3)/(8) *2*\pi *4 = 3\pi$

Therefore, the length of the indicated arc in radians in
$3\pi$ .

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