Geometry

Area Calculator

Calculate area for 11 shapes: square, rectangle, parallelogram, triangle, trapezoid, rhombus, kite, ellipse, sector, regular polygon, and circle.

Calculate area

Answer
Area = 40
  1. Area = length * width = 8 * 5 = 40

How to use the area calculator

Pick a shape and the area calculator shows the matching formula with your values substituted in. It covers the common school geometry shapes from squares to regular polygons.

  1. Choose a shape.
  2. Enter the required measurements.
  3. Read the area and formula substitution.

Formula or method

Square s^2; rectangle l*w; parallelogram b*h; triangle b*h/2; trapezoid (a+b)/2*h; rhombus/kite p*q/2; ellipse pi*a*b; sector (angle/360)*pi*r^2; regular polygon n*s^2/(4 tan(pi/n)); circle pi*r^2.

Worked examples

Trapezoid area

Problem: bases 6 and 10, height 4

Solution: Area = (6 + 10)/2 * 4 = 32.

Regular hexagon area

Problem: 6 sides, side length 4

Solution: Area = 6 * 4^2 / (4 * tan(pi/6)) ≈ 41.57.