Find the area of a circular sector if the degree measure of the arc is 120 °, the radius is 8

First, find the area of the whole circle. For this we use the formula
S = R * R * PI = 8 * 8 * 3.14 = 200.96

After that, we will find how much of the circle this sector is. To do this, we divide the degree of its arc by the degree measure of the entire circle:
120/360 = 1/3

Now, to find the area of the sector, it is enough to multiply the area of the circle by the previous fraction:
200.96 * 1/3, which is approximately equal to 66.99

If we use more accurate values of pi, then the answer will be rounded to 67.02

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