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Central Angle

\begin{figure}\begin{center}\BoxedEPSF{CentralInscribedAngle.epsf}\end{center}\end{figure}

An Angle having its Vertex at a Circle's center which is formed by two points on the Circle's Circumference. For angles with the same endpoints,

\begin{displaymath}
\theta_c=2\theta_i,
\end{displaymath}

where $\theta_i$ is the Inscribed Angle.


References

Pedoe, D. Circles: A Mathematical View, rev. ed. Washington, DC: Math. Assoc. Amer., pp. xxi-xxii, 1995.




© 1996-9 Eric W. Weisstein
1999-05-26