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PLS HELP ASAP! GIVING BRAINLIEST!

What is the measure of the indicated central angle?

A) 10 degrees

B) 15 degrees

C) 20 degrees

D) 25 degrees

E) None of the above

PLS HELP ASAP GIVING BRAINLIEST What is the measure of the indicated central angle A 10 degrees B 15 degrees C 20 degrees D 25 degrees E None of the above class=

Respuesta :

Answer: B) 15 degrees

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Explanation:

The radius of the circle is 24, so the circumference is

C = 2*pi*r

C = 2*pi*24

C = 48pi

The whole distance around the circle (perimeter) is exactly 48pi units

However, we only want 2pi of those units as the arc length shows

Divide 2pi over 48pi, and reduce

(2pi)/(48pi) = 1/24

So the arc shown is 1/24th of a full 360 degree revolution. Meaning we multiply the fraction 1/24 by 360 to get

(1/24)*360 = 360/24 = 15

The arc measure is 15 degrees which is equal to the measure of the central angle as well.

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