This Area of a Circle Arc Segment calculator computes the area of a segment of a circle defined by the radius of the circle (r) and the max distance (h) that the chord reaches away from the edge of the circle. 
INSTRUCTIONS: Choose units and enter the following:
- (r) Radius of Circle
- (h) Depth of Chord from Edge of Circle
Area of a Circle Arc Segment (A): The area (A) returned in square inches. However, this can be automatically converted to other area units via the pull-down menu.
The Math
The formula for Area of a Circle Arc Segment is as follows:
where
- A = Area of Circle Arc Segment
- r = radius of the Circle
- θ = angle swept
This calculator uses the formula above with the following substitution:
θ = 2 * acos( (r-h)/r)
where:
- θ = angle in the circle
- r = radius of the circle
- h = max depth of the chord
See Also
A related equation provides the same area if the angle defining the arc chord (θ) is known: To compute the area of the arc segment of a circle using the angle (θ) and radius (r), CLICK HERE.
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