Area of a Sector Calculator

Easily calculate the area of a sector of a circle. Enter the radius and central angle, and visualize the sector.

Input Values

Radius (r)

units

Central Angle (θ)

degrees (° )

Result

Area of Sector: square units

Sector Visualization

Radius (r): units

Angle (θ): °

Area: sq. units

About Area of a Sector

In geometry, a sector of a circle is the region bounded by two radii and the arc subtended by these radii. The area of a sector can be calculated using the formula:

$$Area = {\frac{\theta}{360}} \times \pi r^2$$

where θ is the central angle in degrees and r is the radius.

This calculator simplifies finding the area of a sector, useful in various applications from calculating pizza slices to designing circular gardens. Simply input the radius and the central angle to get the sector's area and a visual representation.

Learn more about sectors of circles on resources like Wikipedia.