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A circle has a radius of 12.6 cm. What is the exact length of an arc formed by a central angle measuring 120°? Express your answer using π .
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A circle has a radius of 12.6 cm.

What is the exact length of an arc formed by a central angle measuring 120°?


Express your answer using π .

User Khaledh
by
8.9k points

2 Answers

2 votes

Answer:

8.4pi

Explanation:

User Firstthumb
by
7.3k points
6 votes
circumference = 2 * PI * radius
circumference = 2 * PI * 12.6
If the central angle is 120°, then the arc will be exactly one third of the circumference.
arc length = (2 * PI * 12.6) / 3
arc length = 8.4 PI


User Returneax
by
8.4k points
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