Sector (pie slice)
Area and perimeter, with the formula worked through and a drawing to scale.
Result
- Area
- 13.09 sq ft
- = 13.09 sq ft · 1.2161 m²
- Perimeter
- 15.236 ft
- = 15.236 ft · 4.6439 m
- Arc length
- 5.236 ft
The working
Area: A = (θ ÷ 360) × π r²
Perimeter: P = (θ ÷ 360) × 2 π r + 2r
A = (60 ÷ 360) × π × 5² = 13.09 arc = (60 ÷ 360) × 2π × 5 = 5.236 P = arc + 2r = 15.236
Values in feet; areas in sq ft.
About the sector (pie slice)
A slice of a circle. The angle tells you what fraction of the whole circle it is.
Every formula on this site is explained step by step in Learn: area and perimeter.
Other shapes
Square Rectangle Parallelogram Rhombus Trapezoid (trapezium) Kite Triangle — three sides Triangle — base and height Right triangle Isosceles triangle Equilateral triangle Triangle — two sides and the angle between Circle Semicircle Quarter circle Circular segment (arch) Ring (annulus) Ellipse (oval) Regular polygon (pentagon, hexagon, octagon…) L-shape Any polygon — by corner points