Find the arc length of a circle with a 12 cm radius if the arc contains 60 °.

univerkov | February 4, 2021 | education

In order to solve this problem, you need to find the length of an arc of a circle with a radius of 12 cm, if the arc contains 60 °:

1) The formula for the circumference of a circle: c = 2πr, where r is the radius.

2) The circumference is: 2 * 12 * 3.14 = 75.4 cm.

3) The arc contains 60 °, and the circle is 360 °, which means that 60 ° is: 60 * 100/360 = 16.6% of the entire circumference.

4) Arc length: 0.166 * 75.4 = 12.5 cm.

Answer: 12.5 cm.

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