Sector Area Calculator

Calculate the area of a sector using its radius and central angle.

Calculator

Enter Sector Dimensions

Table of Contents

1 What is Area?
2 Sector Area Formula
3 How to Calculate Sector Area
4 Practical Examples
Concept

What is Area?

The area of a sector is the amount of space enclosed within a portion of a circle, bounded by two radii and an arc. It's measured in square units and represents the two-dimensional space that the sector occupies. A sector is a pie-shaped portion of a circle.

Formula

Sector Area Formula

Formula

A = (θ/360) × π × r²

where θ is the central angle in degrees, r is the radius, and π is pi (approximately 3.14159)

Steps

How to Calculate Sector Area

  1. 1
    Measure the radius of the circle
  2. 2
    Measure the central angle in degrees
  3. 3
    Divide the central angle by 360
  4. 4
    Multiply by π (pi)
  5. 5
    Multiply by the square of the radius
Examples

Practical Examples

Example

A sector has a radius of 5 units and a central angle of 60 degrees.

A = (θ/360) × π × r²

A = (60/360) × π × 5²

A = (1/6) × π × 25

A ≈ 13.09 square units

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