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

May 31, 2021 | education

| 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

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.