Find the area of a circular sector if the degree measure of its arc is 60º and the radius of the circle is 5 cm.
June 27, 2021 | education
| The area of the circular sector is calculated by the formula S = (πR ^ 2 * α) / 360, where S is the area, π ≈ 3.14, R is the radius, α is the degree measure of the arc of this sector. We have:
S = (π * 5 ^ 2 * 60) / 360 = (π * 25 * 60) / 360 = (π * 5 ^ 2 * 60) / 360 = 25 * π / 6 = 25 * 3.14 / 6 ≈ 13.08 (square cm).
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