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Central Angle

CentralAngle

A central angle is an angle ∠AOC with endpoints A and C located on a circle's circumference and vertex O located at the circle's center (Rhoad et al. 1984, p. 420). A central angle in a circle determines an arc arcAC.

CentralInscribedAngle

For an inscribed angle ∠ABC and central angle ∠AOC with the same endpoints,

∠AOC=2∠ABC

(Jurgensen et al. 1963, p. 328).

See also

Arc, Full Angle, Inscribed Angle, Right Angle, Vertex Angle

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References

Jurgensen, R. C.; Donnelly, A. J.; and Dolciani, M. P. Th. 42 in Modern Geometry: Structure and Method. Boston, MA: Houghton-Mifflin, 1963.Pedoe, D. Circles: A Mathematical View, rev. ed. Washington, DC: Math. Assoc. Amer., pp. xxi-xxii, 1995.Rhoad, R.; Milauskas, G.; and Whipple, R. Geometry for Enjoyment and Challenge, rev. ed. Evanston, IL: McDougal, Littell & Company, 1984.

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Central Angle

Cite this as:

Weisstein, Eric W. "Central Angle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CentralAngle.html

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