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Inscribed Angle from Arc Calculator — result sheet
Calculate an inscribed angle from its intercepted arc and show the corresponding central angle.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Inscribed angle=arc measure/2; corresponding central angle=arc measure.
An inscribed angle has its vertex on the circle and intercepts an arc. The inscribed-angle theorem makes the angle half the measure of the intercepted arc.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Intercepted arc measure — degrees; minimum 0; maximum 360
Worked example
| Input | Value |
|---|---|
| Intercepted arc measure | 80 |
Inscribed angle =40°; central angle =80°.
Assumptions and limits
- The arc measure is the minor or selected intercepted arc in degrees from zero through 360.
- The angle is a planar Euclidean circle angle.
- The page does not identify which of multiple arcs a drawing intends; the entered arc is the contract.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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