Create the page "Circles" on this wiki! See also the search results found.

• 2021 JMPSC Sprint Problems
  ...me line, then they are on the same line. For example, the three red shaded circles count as one such set.)
  7 KB (1,100 words) - 18:40, 11 July 2021
• PaperMath’s sum
  *[[PaperMath’s circles]]
  3 KB (549 words) - 17:22, 27 March 2024
• 2021 IMO Problems/Problem 4
  Let circles <math>\omega</math> centered at <math>I</math> and <math>\Omega</math> cent
  7 KB (1,196 words) - 10:30, 18 June 2023
• 2021 Fall AMC 12B Problems/Problem 10
  //Draws a polar grid that goes out to a number of circles
  3 KB (467 words) - 22:50, 10 July 2023
• 2021 Fall AMC 12B Problems/Problem 22
  By analyzing the behaviors of the two circles, we set <math>O</math> to be <math>(a,6)</math> and <math>P</math> be <math
  6 KB (943 words) - 00:41, 6 August 2023
• 2021 Fall AMC 10A Problems/Problem 19
  ...consider the second disk. The part it sweeps is comprised of four quarter circles with radius <math>2</math> and four rectangles with side lengths of <math>2
  3 KB (475 words) - 17:45, 30 October 2023
• 2021 Fall AMC 12A Problems
  Consider two concentric circles of radius <math>17</math> and <math>19.</math> The larger circle has a chor
  15 KB (2,452 words) - 19:37, 7 June 2023
• 2021 Fall AMC 12A Problems/Problem 11
  Consider two concentric circles of radius <math>17</math> and <math>19.</math> The larger circle has a chor Label the center of both circles <math>O</math>. Label the chord in the larger circle as <math>\overline{ABC
  4 KB (657 words) - 21:51, 17 September 2023
• 2021 WSMO Speed Round Problems/Problem 9
  ...throw 20 darts at the dartboard shown below. It is formed by 4 concentric circles, with radii of <math>1,3,5,</math> and <math>7</math>, with the largest cir
  2 KB (259 words) - 10:08, 11 July 2022
• 2021 WSMO Speed Round Problems
  ...throw 20 darts at the dartboard shown below. It is formed by 4 concentric circles, with radii of <math>1,3,5,</math> and <math>7</math>, with the largest cir
  4 KB (707 words) - 12:38, 6 June 2022
• 2022 AMC 8 Problems/Problem 23
  ...st line is all triangles and the other arrangement of the last line is all circles, which causes Case 2 to overlap with Case 1 and further complicating the so
  4 KB (658 words) - 21:11, 2 June 2024
• AoPSWiki:Sandbox
  '''#18 Circles'''
  28 KB (4,808 words) - 19:43, 3 June 2022
• Kimberling’s point X(24)
  Therefore second crosspoint of these circles point <math>E</math> lies on line <math>OH</math> which is the Euler line o
  10 KB (1,751 words) - 15:34, 25 November 2022
• 2023 AMC 8 Problems
  ...below shows a large white circle with a number of smaller white and shaded circles in its
  29 KB (4,048 words) - 17:25, 21 February 2024
• 2022 AMC 10A Problems/Problem 23
  ...The vertices of the trapezoid would be then on each of the four concentric circles. WLOG, let <math>BC</math> and <math>AD</math> be parallel to the <math>x</
  12 KB (1,806 words) - 12:52, 26 March 2024
• 2022 AMC 10B Problems/Problem 22
  ...>, and <math>(x-5)^{2}+y^{2}=3</math>. What is the sum of the areas of all circles in <math>S</math>? The circles match up as follows: Case <math>1</math> is brown, Case <math>2</math> is b
  7 KB (1,202 words) - 01:15, 10 June 2023
• 2022 AMC 10B Problems/Problem 20
  == Video Solution, best solution (family friendly, no circles drawn) ==
  11 KB (1,758 words) - 00:17, 6 June 2024
• 2022 AMC 12B Problems/Problem 8
  ...two nonintersecting parabolas} \qquad \textbf{(C) } \text{two intersecting circles} \qquad \\\\ \textbf{(D) } \text{a circle and a hyperbola} \qquad \textbf{(
  1 KB (235 words) - 03:36, 26 November 2023
• Kimberling’s point X(20)
  The De Longchamps’ point of a triangle is the radical center of the power circles of the triangle. Prove that De Longchamps point lies on Euler line. ...h> point <math>A'</math> with radius <math>R_A = AA'.</math> The other two circles are defined symmetrically.
  7 KB (1,164 words) - 11:37, 26 November 2022
• Steiner line
  ...ndicular to Gauss line <math>EF</math> which is the line of centers of two circles <math>\Omega</math> and <math>\omega</math> as desired. ...hat this line is parallel to Steiner line which is the radical axis of the circles centered at <math>E</math> and <math>F</math> with radii <math>BE</math> an
  14 KB (2,381 words) - 12:07, 12 May 2024

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