Area Calculator
Find the area of 17 shapes: rectangle, square, triangles, circle, ellipse, sector, segment, ring, trapezoid, parallelogram, rhombus, kite, regular polygons, irregular quadrilaterals and borders.
Change the values and press Calculate to work out your own figures.
Rectangle
Enter the length and width.
| Amount | Unit |
|---|---|
| 55.741824 | m² |
| 557,418.24 | cm² |
| 600 | ft² |
| 86,400 | in² |
| 66.66666667 | yd² |
| 0.01377410468 | acres |
Show the working
- A = l × w
- Area = 600 ft²
Square
Enter the side.
| Amount | Unit |
|---|---|
| 13.37803776 | m² |
| 133,780.3776 | cm² |
| 144 | ft² |
| 20,736 | in² |
| 16 | yd² |
| 0.003305785124 | acres |
Show the working
- A = a²
- Area = 144 ft²
Triangle (base and height)
Enter the base and height.
| Amount | Unit |
|---|---|
| 2.7870912 | m² |
| 27,870.912 | cm² |
| 30 | ft² |
| 4,320 | in² |
| 3.333333333 | yd² |
| 0.0006887052342 | acres |
Show the working
- A = ½ × b × h
- Area = 30 ft²
Triangle (three sides)
Enter the side a, side b and side c.
| Amount | Unit |
|---|---|
| 61.92779907 | m² |
| 619,277.9907 | cm² |
| 666.5852815 | ft² |
| 95,988.28053 | in² |
| 74.06503128 | yd² |
| 0.01530269241 | acres |
Show the working
- s = (a + b + c) ÷ 2 = 62.5
- A = √(s(s − a)(s − b)(s − c)) (Heron's formula)
- Area = 666.5852815 ft²
Triangle (two sides and the angle between)
Enter the side a, side b and angle.
| Amount | Unit |
|---|---|
| 2.460059587 | m² |
| 24,600.59587 | cm² |
| 26.47986102 | ft² |
| 3,813.099987 | in² |
| 2.94220678 | yd² |
| 0.0006078939628 | acres |
Show the working
- A = ½ × a × b × sin C, with C = 37°
- Area = 26.47986102 ft²
Circle
Enter the radius.
| Amount | Unit |
|---|---|
| 262.6771572 | m² |
| 2,626,771.572 | cm² |
| 2,827.433388 | ft² |
| 407,150.4079 | in² |
| 314.1592654 | yd² |
| 0.06490893913 | acres |
Show the working
- A = π r²
- Area = 2,827.433388 ft²
Ellipse (oval)
Enter the semi-axis a and semi-axis b.
| Amount | Unit |
|---|---|
| 175.1181048 | m² |
| 1,751,181.048 | cm² |
| 1,884.955592 | ft² |
| 271,433.6053 | in² |
| 209.4395102 | yd² |
| 0.04327262609 | acres |
Show the working
- A = π a b
- Area = 1,884.955592 ft²
Sector
Enter the radius and angle.
| Amount | Unit |
|---|---|
| 65.66928929 | m² |
| 656,692.8929 | cm² |
| 706.8583471 | ft² |
| 101,787.602 | in² |
| 78.53981634 | yd² |
| 0.01622723478 | acres |
Show the working
- θ = 90°
- Sector area = ½ r² θ (θ in radians) = θ/360 × π r²
- Arc length = r θ
- Sector area = 706.8583471 ft²
Circular segment
Enter the radius and angle.
| Amount | Unit |
|---|---|
| 0.8415721629 | m² |
| 8,415.721629 | cm² |
| 9.058607371 | ft² |
| 1,304.439461 | in² |
| 1.00651193 | yd² |
| 0.0002079570104 | acres |
Show the working
- θ = 60°
- Segment area = ½ r² (θ − sin θ), θ in radians
- Segment area = 9.058607371 ft²
Ring (annulus)
Enter the outer radius and inner radius.
| Amount | Unit |
|---|---|
| 18.67926451 | m² |
| 186,792.6451 | cm² |
| 201.0619298 | ft² |
| 28,952.9179 | in² |
| 22.34021443 | yd² |
| 0.004615746783 | acres |
Show the working
- A = π (R² − r²)
- Area = 201.0619298 ft²
Trapezoid
Enter the base a, base b and height.
| Amount | Unit |
|---|---|
| 69.67728 | m² |
| 696,772.8 | cm² |
| 750 | ft² |
| 108,000 | in² |
| 83.33333333 | yd² |
| 0.01721763086 | acres |
Show the working
- A = (a + b) ÷ 2 × h
- Area = 750 ft²
Parallelogram
Enter the base and height.
| Amount | Unit |
|---|---|
| 55.741824 | m² |
| 557,418.24 | cm² |
| 600 | ft² |
| 86,400 | in² |
| 66.66666667 | yd² |
| 0.01377410468 | acres |
Show the working
- A = b × h
- Area = 600 ft²
Rhombus (diagonals)
Enter the diagonal p and diagonal q.
| Amount | Unit |
|---|---|
| 11.1483648 | m² |
| 111,483.648 | cm² |
| 120 | ft² |
| 17,280 | in² |
| 13.33333333 | yd² |
| 0.002754820937 | acres |
Show the working
- A = p × q ÷ 2
- side = ½√(p² + q²)
- Area = 120 ft²
Kite (diagonals)
Enter the diagonal p and diagonal q.
| Amount | Unit |
|---|---|
| 11.1483648 | m² |
| 111,483.648 | cm² |
| 120 | ft² |
| 17,280 | in² |
| 13.33333333 | yd² |
| 0.002754820937 | acres |
Show the working
- A = p × q ÷ 2
- Area = 120 ft²
Regular polygon
Enter the number of sides and side.
| Amount | Unit |
|---|---|
| 3.861906851 | m² |
| 38,619.06851 | cm² |
| 41.56921938 | ft² |
| 5,985.967591 | in² |
| 4.618802154 | yd² |
| 0.0009542979657 | acres |
Show the working
- From the side (a): side a = 4
- Area = n a² ÷ (4 tan(180° ÷ n)) = 6 × 4² ÷ (4 tan(30°))
- Area (A) = 41.56921938 ft²
Irregular quadrilateral
Enter the diagonal, height h₁ and height h₂.
| Amount | Unit |
|---|---|
| 13.0064256 | m² |
| 130,064.256 | cm² |
| 140 | ft² |
| 20,160 | in² |
| 15.55555556 | yd² |
| 0.00321395776 | acres |
Show the working
- A = ½ × d × (h₁ + h₂), where h₁ and h₂ are the heights of the two triangles on the diagonal d
- Area = 140 ft²
Rectangular border (frame)
Enter the outer length, outer width, inner length and inner width.
| Amount | Unit |
|---|---|
| 11.89158912 | m² |
| 118,915.8912 | cm² |
| 128 | ft² |
| 18,432 | in² |
| 14.22222222 | yd² |
| 0.002938475666 | acres |
Show the working
- A = outer length × outer width − inner length × inner width
- Border area = 128 ft²
How to use it
Enter the length and width. Enter the side. Enter the base and height. Enter the side a, side b and side c. Enter the side a, side b and angle. Enter the radius. Enter the semi-axis a and semi-axis b. Enter the radius and angle. Enter the radius and angle. Enter the outer radius and inner radius. Enter the base a, base b and height. Enter the base and height. Enter the diagonal p and diagonal q. Enter the diagonal p and diagonal q. Enter the number of sides and side. Enter the diagonal, height h₁ and height h₂. Enter the outer length, outer width, inner length and inner width.
Enter the measurements (decimals, fractions such as 3/4, or mixed numbers such as 1 1/2) and, if you like, their unit; the answer is then also given in other units. Show the working gives the formula.
Key facts
Rectangle A = l w; triangle A = ½ b h; circle A = π r²; trapezoid A = ½ (a + b) h; ellipse A = π a b
Units of area
Area is measured in square units: a rectangle 30 ft by 20 ft has an area of 600 ft². Choose a unit to see the area in square meters, acres and more.
Questions
How do I find the area of a circle?
Multiply π by the radius squared: a radius of 30 ft gives 900π ≈ 2,827.433388 ft².
What is Heron's formula?
The area of a triangle from its three sides: √(s(s − a)(s − b)(s − c)), where s is half the perimeter.
Formulas
Rectangle A = l w; triangle A = ½ b h; circle A = π r²; trapezoid A = ½ (a + b) h; ellipse A = π a b
Sources
Limitations
- All measurements in one calculation use the same unit; the answer is also given in other units.
- Measurements up to 10¹⁵.