Angle of a Circle Arc from Radius and Chord Depth

`θ = 2 cos^-1(( "r" - "h" )/ "r" )`

Enter a value for all fields

The Angle of a Circle Arc from Radius and Chord Depth calculator computes the angle of a segment of a circle defined by /attachments/490fe9dd-d8fd-11e6-9770-bc764e2038f2/CircSegCord.jpg arc segment area the radius of the circle (r) and the max distance (h) that the chord reaches away from the edge of the circle.

INSTRUCTIONS: Choose your preferred units and enter the following:

(r) Radius of Circle
(h) Depth of Chord

Arc Angle(θ): The angle of the arc segment is returned in radians. However, this can be automatically converted to other angle units via the pull-down menu.

The Math / Science

The formula for Angle of a Circle Arc is as follows:

θ = 2 • cos^-1( (r-h)/r)

where:

θ = angle of the circle defining the arc
r = circle radius
h = depth of chord

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