Hive Calculator Calculator

Area of Sector Calculator

Enter the radius and angle to calculate the area of a sector instantly.

About Area of Sector

The Area of Sector Calculator is a fast and easy-to-use online tool that helps you calculate the area of a sector of a circle based on its radius and angle. Whether you're solving geometry problems, designing circular segments, or working on construction and architecture, this calculator delivers precise results instantly.

What Is a Sector of a Circle?

A sector is a portion of a circle enclosed between two radii and the connecting arc. It looks like a "pizza slice" of a circle. The area of a sector depends on the radius of the circle and the central angle (in degrees or radians).

Formula for Area of a Sector:

When angle θ is in degrees:

Area = (θ / 360) × π × r²

When angle θ is in radians:

Area = (1/2) × r² × θ

Where θ is the central angle, r is the radius, and π ≈ 3.1416.

Example Calculation:

If the radius = 10 cm and the angle = 90°, then:

Area = (90 / 360) × π × 10² = 0.25 × 3.1416 × 100 ≈ 78.54 cm²

✅ So, the area of the sector is approximately 78.54 square centimeters.

Features of the Calculator:

Degree & Radian Input – Supports both angle types.
All Units – Works with cm, m, ft, in, and more.
Instant Results – Fast and accurate output.
Cross-Device – Optimized for mobile and desktop.

Common Use Cases

Education – Geometry and trigonometry problems.
Engineering – Architectural and structural designs.
Data Visualization – Pie charts and graphic layouts.
Practical Planning – Circular gardens and projects.

Use the Area of Sector Calculator to quickly find the area of any circular sector — your reliable geometry helper for accurate results anytime!