Find the area of a sector with a radius of 8 cm corresponding to the central angle; 1) 24 degrees

Find the area of a sector with a radius of 8 cm corresponding to the central angle; 1) 24 degrees 2) 36 degrees 3) 120 degrees

First, we need to determine what the area of a circle with such a radius will equal:

3.14 * 8 ^ 2 = 200.96.

1) Determine what value will be equal to the area of the sector, where the central angle is 24 °:

200.96 * 24/360 = 13.397 (3).

Answer: 13.397 (3) cm2.

2) Determine what value will be equal to the area of the sector, where the central angle is 36 °:

200.96 * 26/360 = 20.096.

Answer: 20.096 cm2.

3) Determine what value will be equal to the area of the sector, where the central angle is 120 °:

200.96 * 120/360 = 66.98 (6).

Answer: 66.98 (6) cm2.