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Paraboloid (talk | contribs) →Chord length and height: Found those formulas in old spravochnik (kinda mathbook) |
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The chord length is
:<math>c =2\sqrt{2hR-h^2}= 2R\sin\tfrac{\theta}{2} = R\sqrt{2(1-\cos\theta)}</math>
The sagitta is
:<math>h =R-\sqrt{R^2-\frac{c^2}{4}}= R(1-\cos\tfrac{\theta}{2})=R\left(1-\sqrt{\tfrac{1+\cos\theta}{2}}\right)=\frac{c}{2}\tan\frac{\theta}{4}</math>
=== Arc length and area ===
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