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Bumek [7]
3 years ago
6

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?

Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer: 31.43 cm

Step-by-step explanation:

The length of an arc  is calculated using the formula:

\frac{theta}{360} X 2\pir

where : theta is the angle in degree

r = radius

If the angle is given in Radian , the length can be calculated using the formula:

L = r∅

Since , the angle is given in degree , we will use the first formula.

L = \frac{theta}{360} X 2\pir

L = \frac{120}{360} X 2 X π X 15

L = \frac{1}{3} X 2 X \frac{22}{7} X 15

L = \frac{660}{21}

L = 31.42857143

L ≈ 31.43 cm

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