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  • [[Circle]]s of [[radii]] <math>5, 5, 8,</math> and <math>\frac mn</math> are mutuall ...e centers of the two circles of radii <math>5</math>. By the [[Pythagorean Theorem]], we now have two equations with two unknowns:
    2 KB (354 words) - 21:33, 2 February 2021
  • ...er]]s. Is it possible to cover all grid points by an infinite family of [[circle|discs]] with non-overlapping interiors if each disc in the family has [[rad ...ent]] circles with radius greater than or equal to 5, one can always fit a circle with radius greater than <math>\frac{1}{\sqrt{2}}</math> between those 3 ci
    5 KB (754 words) - 02:41, 7 August 2014
  • ...th> and passes through the center of <math>D</math>. What is the radius of circle <math>B</math>? draw(Circle(D,2));
    5 KB (787 words) - 20:46, 2 October 2024
  • ...f their common external tangents as shown. What is the radius of the third circle? draw( circle(A,1) );
    5 KB (822 words) - 00:35, 7 February 2024
  • ...}</math>. The radius of circle <math>D</math> is three times the radius of circle <math>E</math>, and can be written in the form <math>\sqrt{m}-n</math>, whe draw(circle((7.780000000000009,-1.320000000000002), 2.000000000000000));
    7 KB (1,053 words) - 19:56, 29 November 2024
  • ...ructed in this way. Let <math>S=\bigcup_{j=0}^{6}L_j</math>, and for every circle <math>C</math> denote by <math>r(C)</math> its radius. What is filldraw(circle(coord[i],coord[i].y),gray(0.75));
    8 KB (1,346 words) - 12:58, 18 October 2024
  • ...Y</math> and <math>Z</math>, respectively. If the diameter of the circle is <math>16</math>, what is the length of <math>YZ</math>? Find the radius of the inscribed circle of a triangle with sides of length <math>13</math>, <math>30</math
    31 KB (4,811 words) - 23:02, 3 November 2023
  • ...nd internally tangent to the largest semicircle. What is the radius of the circle centered at <math>P</math>? draw(circle(P,6/7));
    13 KB (1,982 words) - 16:12, 20 December 2022
  • ...k</cmath>intersect in four distinct points, and these four points lie on a circle with radius at most <math>21</math>. Find the sum of the least element of < By either the graphs of the parabolas or the Rational Root Theorem, we conclude that <math>x=-5</math> is a root of <math>(\bigstar).</math> S
    10 KB (1,742 words) - 01:31, 13 November 2023
  • ...as 100 solutions (by the fundamental theorem of algebra) lying on the unit circle. Furthermore they are distinct since the solutions of <math>z^{150}=1</math
    3 KB (465 words) - 17:09, 6 February 2023
  • draw(circle((0,1),1), linewidth(1.2)); draw(circle((1,1/4),1/4), linewidth(1.2));
    6 KB (1,011 words) - 23:14, 23 November 2024