Find the length of an arc, a circle with a radius of 3 cm, if its degree measure is 150 degrees.
| April 8, 2021 | education
From the condition, we know that we are given a circle with a radius of 3 cm.
In order to find the length of an arc of a circle, if its degree measure is 150 °, let’s recall the formula for finding the length of a circle that corresponds to the angle n.
So, the length of the arc of a circle that corresponds to the angle n can be calculated using the following formula:
l = 2πR * n / 360, where R is the radius of the circle, n is the degree measure of the arc of the circle.
We just have to substitute the values and calculate:
l = 2πR * n / 360 = 2 * π * 3 * 150/360 = 2.5π cm.
Answer: the circumference of the sector 150 ° is 2.5π cm.
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