The degree measure of an arc of a circle with a radius of 6 cm is equal to 30 degrees

The degree measure of an arc of a circle with a radius of 6 cm is equal to 30 degrees. calculate the area of the circular 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 = 6 cm.

α is the degree measure of the circular arc = 300.

S = π * 62 * 30/360 = π * 36/12 = π * 3 cm2.

Answer: The area of the arc sector is (π * 3) cm2.



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