A circle is every point at one fixed radius from its center. Radius, angle, and the constant π connect its lengths and areas.
Use it to move between a circle’s central measurements while keeping the radius and angle units explicit.
The relationship
Write the rule before calculating
Convert θ to radians, then apply the relevant arc, chord, sector, segment, or inscribed-angle formula.
See the structure
What the calculation is doing
centerrθConvert θ to radians, then apply the relevant arc, chord, sector, segment, or inscribed-angle formula.
Worked interpretation
Read the result in context
Enter the example values shown in the fields to verify the stated relationship.
Interpret with care
Important boundary
Use radians in arc and sector formulas unless the degree angle is explicitly converted first.
Use the Mathematics collection to move between connected concepts without duplicating the calculation.
Quick guide
How to use this calculator
Enter values using the notation shown beside each field.
Choose a calculation mode when the tool offers more than one interpretation.
Read the primary answer first, then inspect the supporting details.
Calculation method
Apply the stated definition
Convert θ to radians, then apply the relevant arc, chord, sector, segment, or inscribed-angle formula.
The calculator validates the mathematical domain before returning a result and does not replace undefined states with zero.
Worked example
Worked example
Enter the example values shown in the fields to verify the stated relationship.
Convert θ to radians, then apply the relevant arc, chord, sector, segment, or inscribed-angle formula.
Supported inputs
Precision and limits
Finite, bounded input
Numeric inputs use finite JavaScript floating-point values with magnitude limits. Results are normally displayed to 12 significant digits; outputs labelled approximate are not exact identities.
Notation
Lengths are unit-neutral but must use one consistent unit throughout a calculation. Angles are entered in degrees where labelled.
