Area · Perimeter · Volume · Surface area
Geometry formulas for every shape, worked out for you.
All the geometry formulas you need for area, perimeter, volume and surface area. Each shape has a labelled diagram, a calculator that shows every step, and a free PDF formula sheet.
20+
Shapes & solids
From squares to square pyramids, each with a labelled drawing and every formula you need.
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Live calculators
Type your measurements and get the answer instantly, with units and the worked substitution.
Free PDF sheets
Download every geometry formula as a printable A4 PDF, from a one-page cheat sheet to worksheets for each shape.
2D geometry
2D shape formulas: area & perimeter
Area and perimeter formulas for squares, rectangles, triangles, circles and every other common flat shape.
3D geometry
3D shape formulas: volume & surface area
Volume and surface area formulas for cubes, cuboids, spheres, cylinders, cones and pyramids.
Theorems
Geometry theorems & coordinate formulas
The Pythagorean theorem, distance formula, midpoint formula and slope that many other geometry formulas are built on.
Try it
Geometry formulas calculator
Pick a shape, enter your measurements and get the area, perimeter, volume or surface area with the working shown.
Geometry calculator
Quick reference
Geometry formulas cheat sheet
| Shape | Area / Volume | Perimeter / Surface |
|---|---|---|
| Square | A = a² | P = 4a |
| Rectangle | A = l × w | P = 2(l + w) |
| Triangle | A = ½ b h | P = a + b + c |
| Circle | A = πr² | C = 2πr |
| Trapezoid | A = ½ (a + b) h | P = a + b + c + d |
| Cube | V = a³ | SA = 6a² |
| Cuboid | V = l w h | SA = 2(lw + lh + wh) |
| Cylinder | V = πr²h | SA = 2πr(r + h) |
| Cone | V = ⅓ πr²h | SA = πr(r + l) |
| Sphere | V = ⁴⁄₃ πr³ | SA = 4πr² |
Free downloads
Geometry formulas PDF
Free printable geometry formula sheets in A4 PDF, with labelled diagrams. Print them for class, homework or exam revision.
FAQ
Geometry formulas: common questions
What are geometry formulas?
Geometry formulas are equations that work out the measurements of a shape, such as its area, perimeter, volume or surface area, from lengths like a side, a radius or a height. For example, the area of a circle is A = πr².
What are the basic geometry formulas?
The geometry formulas used most often are: area of a square A = a², area of a rectangle A = l × w, area of a triangle A = ½ × b × h, area of a circle A = πr², circumference C = 2πr, volume of a cube V = a³, volume of a cylinder V = πr²h and the Pythagorean theorem a² + b² = c².
What is the difference between area and volume formulas?
Area formulas measure the flat space inside a 2D shape and give square units such as cm². Volume formulas measure the space inside a 3D solid and give cubic units such as cm³.
How do I use a geometry formula?
Pick the formula for your shape, replace each letter with your measurement, then calculate. For a circle with radius 5 cm: A = π × 5² = 78.54 cm². The calculator on each formula page shows these steps for you.
Can I download the geometry formulas as a PDF?
Yes. You can download a free complete geometry formulas PDF, a one-page geometry formulas cheat sheet, sheets for 2D shapes, 3D solids and theorems, and a worksheet for each shape with a worked example and practice questions.
What is π (pi) in geometry formulas?
π is the ratio of a circle’s circumference to its diameter. It is about 3.14159 and appears in every circle, sphere, cylinder and cone formula.
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