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`r = ( L )^2 / (8* "h" ) + "h" /2`

Enter a value for all fields

The **Radius of a Circle based on the Chord and Arc Height** calculator computes the radius based on the chord length (L) and height (h).

**INSTRUCTIONS:** Choose units and enter the following:

- (
**L**) Length of Chord (see diagram) - (
**h**) Height of Arc from the chord to the highest point.

**Radius (r):** The calculator returns the radius in meters. However, this can be automatically converted to compatible units via the pull-down menu.

The formula for the radius of a circle based on the length of a chord and the height is:

`r = L^2/(8 h) + h/2`

where:

- r is the radius of a circle
- L is the length of the chord. This is the straight line length connecting any two points on a circle.
- h is the height above the chord. This is the greatest distance from a point on the circle and the chord line.

A useful application of the math construct is in construction where the formulas computes the radius of an arch.

**Related Calculators:**

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