Find the length of an arc of a circle with a radius of 3cm if its degree measure is 150 degrees.
| May 17, 2021 | education
The length of the arc of a circle, which corresponds to the angle n, is calculated by the formula:
l = 2 * π * R * n / 360, where R is the radius of the circle, n is the degree measure of the arc.
Substitute the numbers and find the circumference of the sector:
l = 2 * π * R * n / 360 = l = 2 * π * 3 * 150/360
Answer: the circumference of the sector is 1.66 * π cm, or 5.23 cm.
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