The degree measure of an arc of a circle with a radius of 6 cm is equal to 30 °.
| May 20, 2021 | education
The degree measure of an arc of a circle with a radius of 6 cm is equal to 30 °. Calculate the area of the circular sector corresponding to this arc.
A circular sector, a portion of a circle bounded by an arc and two radii that connect the ends of the arc and the center of the circle.
The area of the sector can be found by the formula:
S = π * R² * n / 360, where R is the radius of the circle, n is the degree measure of the arc.
Substitute the numbers and find the area of the sector:
S = π * R² * n / 360 = π * 6² * 30/360 = 3 * π
Answer: the area of the sector is 3 * π cm, or 9.42 cm.
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