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• Orthic triangle
  ...th> lie on the circle with diameter <math>AH</math>. Since <math>EH</math> subtends <math>\theta</math> as well as <math>\angle EFH</math> on this circle, so <
  8 KB (1,408 words) - 09:39, 10 July 2024
• 1983 AIME Problems/Problem 14
  Thus, <math>\angle TPR</math> subtends a <math>90^\circ \times 2 = 180^\circ</math> degree arc. So arc <math>TR</m
  14 KB (2,351 words) - 21:06, 8 December 2024
• Central angle
  ...[[arc]] of the circle. The [[measure]] of the arc that the central angle subtends is by definition equal to the measure of the central angle, and is known as
  570 bytes (88 words) - 21:09, 28 May 2024
• Inscribed angle
  ...ibed angle is equal to half of the measure of the [[arc]] it intercepts or subtends. Thus, in particular it does not depend on the location of the vertex on t
  969 bytes (167 words) - 22:47, 19 December 2007
• 2007 AMC 12A Problems/Problem 8
  We look at the angle between 12, 5, and 10. It subtends <math>\frac 16</math> of the circle, or <math>60</math> degrees (or you can
  997 bytes (152 words) - 03:00, 20 July 2016
• 2008 AMC 12B Problems/Problem 9
  Let <math>\alpha</math> be the angle that subtends the arc <math>AB</math>. By the law of cosines,
  2 KB (319 words) - 13:48, 15 February 2021
• 1960 IMO Problems/Problem 7
  Since the leg BC subtends a right angle at P, the angle BPC should be a right angle. This means that
  2 KB (410 words) - 15:25, 23 March 2020
• 1976 USAMO Problems/Problem 2
  ...<math>m\angle XAY=90</math> since <math>XY</math> is a diameter, and thus subtends an arc of <math>180</math>. This will hold for all <math>X</math> and all <
  5 KB (848 words) - 23:41, 6 July 2020
• 2013 AMC 10B Problems/Problem 7
  ...of that angle is thirty degrees. Similarly, another angle in the triangle subtends an arc of twice the length, and thus equals 60 degrees. The last angle is e
  3 KB (417 words) - 20:21, 12 January 2024
• 2016 USAJMO Problems/Problem 5
  Since the central angle <math>\angle AOB</math> subtends the same arc as the inscribed angle <math>\angle ACB</math> on the circumci
  10 KB (1,733 words) - 19:15, 14 June 2020