Formula for finding the area of a section

A section in geometry often refers to a sector of a circle. A sector is a portion of a circle enclosed by two radii and the arc connecting them.

The formula for the area of a sector depends on whether the angle is given in degrees or radians.

If the central angle $\theta$ is in degrees:

$$A = \frac{\theta}{360^\circ} \pi r^2$$

where $r$ is the radius of the circle.

If the central angle $\theta$ is in radians:

$$A = \frac{1}{2} r^2 \theta$$

where $r$ is the radius of the circle.

The formula for finding the area of a section (sector) is:

$$\boxed{A = \frac{\theta}{360^\circ} \pi r^2 \text{ (if } \theta \text{ is in degrees)} \text{ or } A = \frac{1}{2} r^2 \theta \text{ (if } \theta \text{ is in radians)}}$$