The degree measure of an arc of a circle with a radius of 88 mm is 36 degrees.
| May 16, 2021 | education
The degree measure of an arc of a circle with a radius of 88 mm is 36 degrees. Find the area of the arc sector corresponding to this arc?
To solve this, we will use the formula for determining the area of a sector.
S = (π * R ^ 2 * α) / 360, where
R – radius of a circle = 88 mm.
α is the degree measure of the circular arc = 360.
S = π * 882 * 36/360 = π * 7744/10 = π * 774.4 mm2.
Answer: The area of the arc sector is π * 774.4 mm2.
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