Hive Calculator Calculator

Perimeter of Sector Calculator

Enter the radius and angle to calculate the perimeter of a sector.

Perimeter of Sector Calculator

Do you need a fast and reliable way to calculate the perimeter of a sector of a circle? Our Perimeter of Sector Calculator provides instant and accurate results with just one click. Whether you’re solving geometry problems, working on architecture projects, planning landscaping designs, or designing crafts, this tool makes calculations simple, accurate, and hassle-free.

πŸ“ Understanding the Sector

What is a Sector?
A sector is a part of a circle enclosed between two radii and the connecting arc. It looks like a slice of pizza or a wedge of pie.
The perimeter of a sector includes:
β€’ Two radii (the straight edges)
β€’ The arc length (the curved edge)

βš–οΈ Formula to Calculate the Perimeter of a Sector

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

If angle is in degrees (ΞΈΒ°):
L = (ΞΈ Γ— 2Ο€r) / 360
P = 2r + L = 2r + (ΞΈ Γ— 2Ο€r / 360)

If angle is in radians (ΞΈ rad):
L = rΞΈ
P = 2r + L = 2r + rΞΈ

Where:
P = Perimeter of the sector
r = Radius of the circle
L = Arc length

πŸ“š Examples of Sector Perimeter Calculation

βœ… Examples with Degrees

Radius = 7 cm, Angle = 90Β°

L = (90 Γ— 2Ο€ Γ— 7) / 360 = 10.995
P = 2 Γ— 7 + 10.995 = 24.995 cm

πŸ‘‰ Perimeter β‰ˆ 25 cm

Radius = 10 m, Angle = 120Β°

L = (120 Γ— 2Ο€ Γ— 10) / 360 = 20.94
P = 20 + 20.94 = 40.94 m

πŸ‘‰ Perimeter β‰ˆ 40.94 m

Radius = 15 in, Angle = 180Β°

L = (180 Γ— 2Ο€ Γ— 15) / 360 = 47.12
P = 30 + 47.12 = 77.12 in

πŸ‘‰ Perimeter β‰ˆ 77.12 in

βœ… Examples with Radians

Radius = 10 cm, Angle = 2 rad

L = rΞΈ = 10 Γ— 2 = 20
P = 20 + 20 = 40 cm

πŸ‘‰ Perimeter = 40 cm

Radius = 6 m, Angle = 1.5 rad

L = 6 Γ— 1.5 = 9
P = 12 + 9 = 21 m

πŸ‘‰ Perimeter = 21 m

Radius = 8 in, Angle = 3.14 rad (β‰ˆ Ο€ radians)

L = 8 Γ— 3.14 = 25.12
P = 16 + 25.12 = 41.12 in

πŸ‘‰ Perimeter β‰ˆ 41.12 in

Radius = 4 ft, Angle = 0.75 rad

L = 4 Γ— 0.75 = 3
P = 8 + 3 = 11 ft

πŸ‘‰ Perimeter = 11 ft

✨ Features of Our Perimeter of Sector Calculator

βœ… Supports both degrees and radians
βœ… Instant and accurate perimeter results
βœ… Works with any unit (cm, m, ft, inches, etc.)
βœ… 100% free, no registration required
βœ… Simple and user-friendly design
βœ… Works on desktop, mobile, and tablet devices

πŸ‘©β€πŸ’Ό Who Should Use This Calculator?

Students & Teachers – Solve geometry problems quickly
Architects & Engineers – Design arches, domes, and curved layouts
Construction Workers – Calculate perimeters of curved walls or gates
Interior Designers – Create round or sector-shaped furniture and floor plans
Surveyors & Landscapers – Measure curved parks, fountains, and pathways
Artists & Crafters – Design arc-shaped models, jewelry, or crafts

πŸ’‘ Why Use an Online Calculator Instead of Manual Calculation?

While manual calculation is possible, working with Ο€, fractions, and decimals can be tedious and prone to mistakes.
Our Perimeter of Sector Calculator ensures error-free, instant results for both degrees and radians, saving you valuable time and effort.

Practical Applications

Architecture & Construction – Arches, curved roofs, and domes
Urban Planning – Circular parks, roads, and amphitheaters
Education – Teaching students sector geometry interactively
Landscaping – Designing curved gardens, fountains, and pavements
Crafts & Design – Creating arcs and curved patterns in projects

βœ… The Perimeter of Sector Calculator is an essential tool for anyone working with circles and sectors in geometry, design, construction, or landscaping. With degree and radian support, it ensures comprehensive accuracy every time.

πŸ‘‰ Try our Perimeter of Sector Calculator today and simplify all your sector perimeter calculations instantly!

Popular Calculators

Number Systems
Geometry
Volume
Finance
Converters
Related