CircleVEXQOMIRA / GEOMETRY 01
Circle Vexqomira

Formulas, without the guesswork.

Choose a relationship from the measurements you know. The variable names below belong to each calculator; a letter can have a different role in another method. π is evaluated using the browser’s full numerical constant, rather than replacing it with 3.14.

From a radius

A = πr²; C = 2πr

Inputs: Radius r (length units).

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From a diameter

r = d/2

Inputs: Diameter d (length units).

Apply this formula ↗

Find radius from area

r = √(A/π)

Inputs: Area A (square units).

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Sector of a circle

Sector area = πr²θ/360; arc = 2πrθ/360

Inputs: Radius r (length units); Central angle θ (degrees).

Apply this formula ↗

Reading the notation

√ means a square root, ∛ means a cube root, and a superscript ² or ³ means a square or cube. Sine, cosine and tangent use angles converted from entered degrees. Where an inverse trigonometric function is used, its displayed angle is converted back to degrees. The ellipse perimeter is approximate; other formula labels describe the ideal mathematical model.

Do not enter the diameter in a field asking for radius. A sector boundary includes two radii as well as its arc.

Reference reading: Circle at Wolfram MathWorld.