📐 Area Calculator
Calculate the area of any geometric shape instantly. Perfect for students, architects, contractors, and DIY enthusiasts!
Calculate the area of any geometric shape instantly. Perfect for students, architects, contractors, and DIY enthusiasts!
Area is the measure of the two-dimensional space enclosed within a shape's boundaries. It's expressed in square units (e.g., square feet, square meters). Here are all the formulas you need:
| Shape | Formula | Variables |
|---|---|---|
| Rectangle | A = l × w |
l = length, w = width |
| Square | A = s× |
s = side length |
| Circle | A = pr× |
r = radius, p × 3.14159 |
| Triangle | A = × × b × h |
b = base, h = height |
| Trapezoid | A = ×(a + b) × h |
a, b = parallel sides, h = height |
| Parallelogram | A = b × h |
b = base, h = height |
| Ellipse | A = p × a × b |
a = semi-major, b = semi-minor axis |
| Sector | A = (?/360) × pr× |
? = angle in degrees, r = radius |
1 square foot = 0.0929 m× | 1 square meter = 10.764 ft× | 1 acre = 43,560 ft× = 4,047 m×
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Quick-reference guide for calculating area of every common geometric shape. All formulas are exact (no approximations except where p is used):
| Shape | Formula | Variables | Example |
|---|---|---|---|
| Square | A = s× | s = side length | s=5 ? 25 |
| Rectangle | A = l × w | l = length, w = width | 4×7 = 28 |
| Triangle | A = × × b × h | b = base, h = height | ××6×8 = 24 |
| Circle | A = p × r× | r = radius (p × 3.14159) | r=4 ? 50.27 |
| Ellipse | A = p × a × b | a = semi-major, b = semi-minor | p×5×3 = 47.1 |
| Parallelogram | A = b × h | b = base, h = perpendicular height | 6×4 = 24 |
| Trapezoid | A = ×(a + b) × h | a,b = parallel sides, h = height | ×(4+6)×5 = 25 |
| Regular Hexagon | A = (3v3 / 2) × s× | s = side length | s=4 ? 41.6 |
| Sector of Circle | A = (?/360) × p × r× | ? = angle in degrees, r = radius | 90×, r=4 ? 12.6 |
| Convert From | Multiply by | To Get |
|---|---|---|
| Square feet (sq ft) | 0.0929 | Square meters (m×) |
| Square meters (m×) | 10.764 | Square feet (sq ft) |
| Acres | 43,560 | Square feet (sq ft) |
| Hectares | 10,000 | Square meters (m×) |