# How do you find the area of a central angle of a circle?

## How do you find the area of a central angle of a circle?

If the central angle measures 60 degrees, divide the 360 total degrees in the circle by 60. Multiply this by the measure of the corresponding arc to find the total circumference of the circle. Use the circumference to find the radius, then use the radius to find the area.

## How do you find the area enclosed by a circle?

In geometry, the area enclosed by a circle of radius r is πr2.

How will you determine the area of a sector of a circle if the central angle is measured in radians?

Similar to arc length, the ratio of A to the area of the entire circle is the same as the ratio of θ to one revolution. In other words, again using radian measure, area of sectorarea of entire circle = sector angleone revolution⇒Aπr2 = θ2π .

### What is the central angle of a circle called?

A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B. The central angle is also known as the arc’s angular distance.