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

• 2006 AMC 8 Problems
  ...th>. Circle <math> Z </math> has an area of <math> 9 \pi </math>. List the circles in order from smallest to largest radius.
  16 KB (2,215 words) - 19:18, 10 April 2024
• 2010 AMC 10B Problems/Problem 20
  Two circles lie outside regular hexagon <math>ABCDEF</math>. The first is tangent to <m
  3 KB (483 words) - 18:41, 4 May 2024
• 2011 AMC 12A Problems
  Circles <math>A, B,</math> and <math>C</math> each have radius 1. Circles <math>A</math> and <math>B</math> share one point of tangency. Circle <math Circles with radii <math>1</math>, <math>2</math>, and <math>3</math> are mutually
  13 KB (1,994 words) - 13:52, 3 July 2021
• 2011 AMC 12A Problems/Problem 11
  Circles <math>A, B,</math> and <math>C</math> each have radius 1. Circles <math>A</math> and <math>B</math> share one point of tangency. Circle <math ...requested area is the area of <math>C</math> minus the area shared between circles <math>A</math>, <math>B</math> and <math>C</math>.
  3 KB (515 words) - 19:56, 10 August 2023
• 2011 AMC 12A Problems/Problem 17
  Circles with radii <math>1</math>, <math>2</math>, and <math>3</math> are mutually The centers of these circles form a 3-4-5 triangle, which has an area equal to 6.
  3 KB (462 words) - 17:49, 3 February 2024
• 2011 AMC 10A Problems
  Circles <math>A, B,</math> and <math>C</math> each have radius 1. Circles <math>A</math> and <math>B</math> share one point of tangency. Circle <math
  13 KB (1,903 words) - 18:09, 19 April 2021
• 1993 AHSME Problems
  ...of radius 1 that are in the same plane and tangent to each other. How many circles of radius 3 are in this plane and tangent to both <math>C_1</math> and <mat
  20 KB (2,814 words) - 08:15, 27 June 2021
• 2021 AIME II Problems/Problem 5
  ==Solution 5 (Circles)==
  14 KB (2,269 words) - 00:43, 2 January 2023
• 2007 AMC 8 Problems/Problem 16
  Amanda Reckonwith draws five circles with radii <math>1, 2, 3,
  2 KB (332 words) - 12:22, 16 August 2021
• 2002 AMC 10B Problems/Problem 5
  Circles of radius <math>2</math> and <math>3</math> are externally tangent and are A line going through the centers of the two smaller circles also goes through the diameter. The length of this line within the circle i
  2 KB (247 words) - 17:30, 5 January 2021
• Descartes' Circle Formula
  Descartes' Circle Formula is a relation held between four mutually tangent circles. ...tangent to circle B of radius <math>r_b</math>. Then the curvatures of the circles are simply the reciprocals of their radii, <math>\frac{1}{r_a}</math> and <
  2 KB (288 words) - 21:00, 24 December 2017
• 1998 USAMO Problems
  Let <math>{\cal C}_1</math> and <math>{\cal C}_2</math> be concentric circles, with <math>{\cal C}_2</math> in the interior of <math>{\cal C}_1</math>.
  3 KB (486 words) - 06:11, 24 November 2020
• Mock Geometry AIME 2011 Problems
  Two circles <math>\omega_1,\omega_2</math> have center <math>O_1,O_2</math> and radius ...h>7x+y=28.</math> Suppose that one of the tangent lines from the origin to circles <math>\omega_1</math> and <math>\omega_2</math> meets <math>\omega_1</math>
  8 KB (1,349 words) - 19:10, 14 June 2022
• 2007 AMC 10B Problems
  ...).</math> What is the area of the intersection of the interiors of the two circles? A circle of radius <math>1</math> is surrounded by <math>4</math> circles of radius <math>r</math> as shown. What is <math>r</math>?
  15 KB (2,297 words) - 12:57, 19 February 2020
• 2011 AMC 10B Problems/Problem 12
  ...s of the smaller circles, and <math>b+6</math> be the radius of the larger circles. The length of the inner edge will be <math>2a+2b \pi </math> and the lengt ...will take Keiko the same time to walk that length for both inner and outer circles. Instead, focus on the circular part. If the diameter of the smaller circle
  2 KB (337 words) - 15:15, 24 August 2021
• Olympiad books
  ...- '''San Gaku''' - '''Problem''' book (it contains lots of theorems about circles).
  17 KB (2,261 words) - 00:30, 22 April 2024
• 2007 AMC 10B Problems/Problem 13
  ...).</math> What is the area of the intersection of the interiors of the two circles?
  898 bytes (142 words) - 20:42, 15 February 2024
• 2015 IMO Problems/Problem 4
  ...circles' common chord, then the other two chords cut by these lines on the circles are parallel.''<br /> ...lemma is always <math>\Omega</math>, while the other is one of three other circles from the problem statement. Applying the lemma to the lines <math>FDH</math
  3 KB (502 words) - 23:58, 5 October 2015
• 1967 AHSME Problems
  .... If <math>S_n</math> is the sum of the areas of the first <math>n</math> circles so inscribed, then, as <math>n</math> grows beyond all bounds, <math>S_n</m In this diagram semi-circles are constructed on diameters <math>\overline{AB}</math>, <math>\overline{AC
  20 KB (3,108 words) - 14:14, 20 February 2020
• 2003 AMC 8 Problems
  The following figures are composed of squares and circles. Which figure has a shaded region with largest area?
  16 KB (2,236 words) - 12:02, 19 February 2024

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)