Circular segment: Difference between revisions

Revision as of 11:41, 4 October 2006

Revision as of 13:25, 7 December 2006

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Let '''R''' be the [[radius]] of the [[circle]], '''c''' the chord [[length]], '''s''' the arc length, '''h''' the [[height]] of the segment, and '''d''' the height of the [[triangle|triangular]] portion. The [[area]] of the circular segment is equal to the area of the [[circular sector]] minus the area of the triangular portion.

The radius is&nbsp;<math>R = h + d \frac{}{}</math>

The arc length is&nbsp;<math>s = R \theta \frac{}{}</math>, where <math> \theta \frac{}{}</math> is in [[radians]].

The area is&nbsp;<math>A = \frac{R^2}{2}\left(\theta-\sin\theta\right)</math>

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<math>R\sin\frac{\theta}{2}R\cos\frac{\theta}{2} = \frac{R^2}{2}\sin\theta</math>

The area is therefore:

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[[de:Kreissegment]]

[[zh:弓形]]

[[zh-classical:弓形]]