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Geometry Calculators

Circle Calculator — Radius, Diameter, Circumference & Area

Start with radius, diameter, circumference or area and solve the other circle measurements.

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Change any input — the result updates immediately

No hidden assumptions. Inputs, units and the working stay visible so you can check the calculation.

Calculated result

Area 78.53981634

Radius: 5

Diameter: 10

Circumference: 31.41592654

Show the working
  1. 1. Resolve radius from the selected known radius: r = 5.
  2. 2. Area = πr² = 78.53981634.
  3. 3. Circumference = 2πr = 31.41592654.
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The calculation, without hidden assumptions

Every circle measurement is tied to one radius. Choose whichever value you actually know — radius, diameter, circumference or area — and this calculator resolves the radius first, then reports the diameter, circumference and area together with the substituted working so each number can be checked.

How to use this calculator

1

Choose the known value: radius, diameter, circumference or area.

2

Enter that value as a positive number in any consistent unit.

3

Review the radius, diameter, circumference and area, plus the working.

Where people use it

  • •Laying out round tables, patios or planters
  • •Fabrication and cutting of circular parts
  • •Converting between measured circumference and diameter

Example: radius 5

Diameter 10, circumference about 31.416 and area about 78.540. Entering the circumference 31.416 as the known value returns the same radius of 5.

What the result does not assume

  • •Length results use the entered unit; the area uses the corresponding square unit.
  • •Results use full-precision π, so rounded hand calculations with 3.14 can differ in the last digits.

Frequently asked questions

How is circumference calculated?+

Circumference is 2πr, or π times the diameter.

How do I find the radius from the area?+

Divide the area by π and take the square root. Select Area as the known value and the calculator does this for you.

What is the difference between diameter and radius?+

The diameter crosses the whole circle through the centre and is exactly twice the radius.

Semantic next steps

Continue the calculation

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View the full collection

Area Calculator — Rectangle, Triangle, Circle, Trapezoid & More

Calculate area for rectangle, square, triangle, circle, trapezoid, parallelogram, ellipse and sector shapes with editable units, converted output units and the substituted formula shown.

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Perimeter Calculator — Rectangle, Square, Triangle & Circle

Calculate the perimeter of a rectangle, square or triangle, or the circumference of a circle, with the substituted working.

Open

Square Footage Calculator

Calculate square footage for rectangles, circles and triangles, convert the area to square meters and estimate cost from a price per square foot.

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Angle Converter — Degrees, Radians, Gradians, Turns, Arcmin & Arcsec

Convert angles between radians, milliradians, degrees, gradians/gons, turns, arcminutes and arcseconds with all equivalents, exact circle relationships, swap and adjustable precision.

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Volume & Cubic Yard Calculator — Shapes, yd³, ft³, m³, Weight & Cost

Calculate box, cylinder, sphere or area-by-depth volume and instantly convert the result to cubic feet, cubic yards and cubic metres, with optional waste, material density, weight and bulk cost.

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Pythagorean Theorem Calculator — Solve a Leg, Hypotenuse & Area

Solve a right-triangle leg or hypotenuse from two known sides, show the substituted equation, area, perimeter and acute angles, and reject impossible side combinations.

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Triangle Calculator — Sides, Angles, Area & Perimeter

Solve a triangle from three side lengths using Heron’s formula and the law of cosines, with validity checks, angle sum, area, perimeter and triangle-type labels.

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Rectangle Calculator — Area, Perimeter & Diagonal

Calculate rectangle area, perimeter, diagonal and aspect ratio, and compare an optional measured diagonal with the calculated one to check that a layout is square.

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MAXScanner keeps the formula and assumptions beside the result so you can verify the number before using it in a drawing, estimate, specification, worksheet or document. Where a supplier, manufacturer, drawing or applicable standard owns a requirement, that source remains authoritative.