Quarter circle
Area and perimeter, with the formula worked through and a drawing to scale.
Result
- Area
- 19.635 sq ft
- = 19.635 sq ft · 1.8241 m²
- Perimeter
- 17.854 ft
- = 17.854 ft · 5.4419 m
- Curved edge
- 7.854 ft
The working
Area: A = π r² ÷ 4
Perimeter: P = π r ÷ 2 + 2r
A = π × 5² ÷ 4 = 19.635 P = π × 5 ÷ 2 + 2 × 5 = 17.854
Values in feet; areas in sq ft.
About the quarter circle
A corner bed or a quadrant shower base: a quarter of the circle, with two straight radii.
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 Sector (pie slice) Circular segment (arch) Ring (annulus) Ellipse (oval) Regular polygon (pentagon, hexagon, octagon…) L-shape Any polygon — by corner points