Find the area of the circular sector if the sector angle is 80 and the radius is 12.

From the condition, we know that the angle of the circular sector is 80 °, and the radius is 12 cm.

In order to find the area of a circular sector, we will apply the following formula:

S = (pi * R ^ 2) / 360 ° * a,

where R is the radius, a is the angle.

We know all the values for calculating the area of the sector, so we just have to substitute the values into the formula and make the calculations.

S = (pi * 12 ^ 2) / 360 ° * 80 ° = 144 * pi / 360 ° * 80 ° = 32 * pi sq. units.

We can write down the answer.

Answer: the area of the circular sector is 32pi square units.