Sector Calculator

Use our free sector calculator for the area and arc length of a circle sector.

Math

Radius (r)

Central Angle (θ)

Formula

A sector is the region bounded by two radii and the arc between them.

A = (θ/360)πr², L = (θ/360)2πr

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter radius.
2Enter angle in degrees.
3Click Calculate.

Examples

r=6, θ=60°

1.Area=(60/360)×36π=6π≈18.85, Arc=2π≈6.28.

Result: Area: 18.8496, Arc: 6.2832

r=5, θ=90°

1.Area=(90/360)×25π=6.25π≈19.64, Arc=2.5π≈7.85.

Result: Area: 19.6350, Arc: 7.8540

Frequently Asked Questions

A portion of a circle bounded by two radii and the arc.

A = (θ/360) × πr².

L = (θ/360) × 2πr.

Sector is full circle: A=πr², L=2πr.

Practical sectors use 0° to 360°.

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CalculateMe Team

Last updated: 2026-07-14

Sector Calculator

Formula

How It Works

Examples

r=6, θ=60°

r=5, θ=90°

Frequently Asked Questions

What is a sector?

Area formula?

Arc length formula?

If θ=360°?

Angle range?

Related Calculators

Sector Calculator

Formula

How It Works

Examples

r=6, θ=60°

r=5, θ=90°

Frequently Asked Questions

What is a sector?

Area formula?

Arc length formula?

If θ=360°?

Angle range?

Related Calculators