Quick Answer
Area is the flat space inside a shape, in square units. A rectangle is length × width, so a 20 ft by 12 ft room is 240 sq ft. A circle is π × r², so a radius of 6 ft gives about 113.10 sq ft. A triangle is base × height ÷ 2.
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Table of Contents
How This Area Calculator Works
Pick a shape and a unit, then enter the sizes. The calculator shows the area in your unit and also in square feet, square meters and acres, with the formula and working.
Quick explanation: area = the space a flat shape covers, in square units such as ft².
- Height: always measured at a right angle to the base.
- Radius: half the diameter.
- Rooms and floors: try our Square Footage Calculator.
Core Formulas
- Rectangle: A = l × w
- Square: A = s²
- Triangle: A = b × h ÷ 2
- Circle: A = π × r²
- Trapezoid: A = (a + b) ÷ 2 × h
- Parallelogram: A = b × h
- Ellipse: A = π × a × b
Worked Example
A garden bed is a trapezoid. The parallel sides are 8 ft and 12 ft, and it is 5 ft deep.
- A = (8 + 12) ÷ 2 × 5
- A = 10 × 5 = 50 sq ft
Tips for Odd Shapes
- L-shaped rooms: split them into rectangles and add the areas.
- Cut-outs: subtract the area of any part you do not need.
- Units: 1 sq yd = 9 sq ft, and 1 acre = 43,560 sq ft.
Frequently Asked Questions
Use the formula for the shape. For a rectangle, multiply length by width.
Multiply π by the radius squared. A circle with a radius of 3 has an area of about 28.27.
Multiply the base by the height, then divide by 2.
One acre is 43,560 square feet.
Area is the space inside a shape. Perimeter is the distance around it.
References & Sources
| Source | Used For | Link |
|---|---|---|
| Wikipedia, Area | Area formulas for common shapes. | https://en.wikipedia.org/wiki/Area |
| NIST, Unit conversion | US customary and metric area units. | https://www.nist.gov/pml/owm/metric-si/unit-conversion |