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- ...circle. Note that any point on a circle can have only one tangent. A line segment that has endpoints on the circle is called the [[chord]] of the circle. If ...rence, will be equal in measure regardless of the point chosen for a given segment (given chord).9 KB (1,510 words) - 18:56, 16 January 2025
- ...Theorem''' is a relationship that holds between the lengths of the [[line segment]]s formed when two [[line]]s [[intersect]] a [[circle]] and each other. .../math> and <math>R</math>, respectively (this means that T is on the minor arc <math>AB</math>). If <math>AP = 20</math>, find the perimeter of <math>\tri5 KB (948 words) - 16:04, 21 February 2025
- ...\circ</math> arc of circle A is equal in length to a <math>30^\circ</math> arc of circle B. What is the ratio of circle A's area and circle B's area? respectively. What is the length of the shortest line segment <math>PQ</math> that is tangent to <math>C_1</math> at <math>P</math> and t12 KB (1,792 words) - 12:06, 19 February 2020
- ...> has [[radius]] <math>1</math> and contains the point <math>A</math>. The segment <math>AB</math> is [[tangent (geometry)|tangent]] to the circle at <math>A< If circular [[arc]]s <math>AC</math> and <math>BC</math> have [[center]]s at <math>B</math> a13 KB (1,948 words) - 09:35, 16 June 2024
- ...has sides of length 2. [[Set]] <math> S </math> is the set of all [[line segment]]s that have length 2 and whose [[endpoint]]s are on adjacent sides of the ...y^2=4</math>. Using the midpoint formula, we find that the midpoint of the segment has coordinates <math>\left(\frac{x}{2},\frac{y}{2}\right)</math>. Let <mat4 KB (647 words) - 20:51, 12 January 2025
- ...omly chosen from <math>S.</math> The probability that the midpoint of the segment they determine also belongs to <math>S</math> is <math>m/n,</math> where <m ...<math>d < 120.</math> The length of the chord of a <math>3d</math>-degree arc is <math>- m + \sqrt {n}</math> centimeters, where <math>m</math> and <math7 KB (1,220 words) - 13:05, 24 November 2024
- // Drawing arc instead of full circle draw(arc(O, r, degrees(A), degrees(C)));11 KB (1,747 words) - 19:54, 31 December 2024
- Since <math>P</math> is the midpoint of segment <math>BC</math>, <math>AP</math> is a median of <math>\triangle ABC</math>. ...x}{2}\right)^2=6^2</math> for triangle <math>BNP</math>. We also translate segment <math>MN</math> down so that <math>N</math> coincides with <math>B</math>,14 KB (2,351 words) - 20:06, 8 December 2024
- ...arc in the circle with radius <math>18</math> and <math>60^{\circ}</math> arc in the circle with radius <math>18\sqrt{3}</math>. ...8)); D(arc((A+B)/2,18,0,180),dots); D(arc((B+C)/2,18*3^.5,-90,90),dots); D(arc((A+C)/2,36,120,300),dots); D(B--F,dots); D(D((B+C)/2)--F--D((A+B)/2),dots);4 KB (717 words) - 21:20, 3 June 2021
- An arbitrary point <math>M </math> is selected in the interior of the segment <math>AB </math>. The squares <math>AMCD </math> and <math>MBEF </math> ar ...arcs it intercepts are congruent, i.e., it passes through the bisector of arc <math>AB </math> (going counterclockwise), which is a constant point.4 KB (729 words) - 07:23, 23 May 2024
- ...<math>P</math> can be in exactly two places. However, <math>P</math> is on segment <math>\overline{CD}</math>, and <math>C</math> and <math>D</math> are on th ...ath> and <math>\angle BDC</math> are inscribed angles that intercept minor arc <math>\widehat{BC}</math>, <math>\angle BDC=\angle BAC = 60^{\circ}-\frac{\6 KB (1,080 words) - 18:28, 21 September 2014
- Then point <math>D</math> lyes on segment <math>AB, \frac {\vec BD}{\vec DA} = n = \frac {\tan \alpha – \tan \gamma Point <math>E</math> lyes on segment <math>AC, \frac {\vec AE}{\vec EC} = \frac {\tan \beta – \tan \gamma}{\ta59 KB (10,203 words) - 03:47, 30 August 2023
- ...opposite arc <math>BC</math> is a semicircle while arc <math>AB</math> and arc <math>AC</math> are the point <math>D</math> on arc <math>BC</math> is the midpoint of the segment joining the points <math>D^\prime</math>2 KB (347 words) - 16:02, 3 June 2011
- ...and radius AC, and the point of intersection of this circle and the major arc BD will be C. In general there are two possibilities for C. Let X be the intersection of the arc BN and the perpendicular to the segment BN through A. For the construction to be possible we require <math>AX \geqs1 KB (205 words) - 03:12, 7 June 2021
- ...ition equal to the measure of the central angle, and is known as the [[arc segment]]'s [[angular distance]].570 bytes (88 words) - 20:09, 28 May 2024
- The segment <math>XY</math> and the lines <math>XY', OZ</math> are fixed <math>\implies <math>\angle AFC</math> and <math>\angle AGC</math> are both subtended by arc <math>\overset{\Large\frown} {AC} \implies \angle AFC = \angle AGC.</math>50 KB (8,743 words) - 17:35, 15 February 2025
- draw(arc(A,2,-60,60),blue); draw(arc(B,2,120,240),blue);3 KB (434 words) - 21:25, 22 November 2021
- ...idpoint]] of the minor arc <math>AB</math>. What is the length of the line segment <math>AC</math>?12 KB (1,840 words) - 19:20, 31 July 2024
- ...midpoint of the minor arc <math>AB</math>. What is the length of the line segment <math>AC</math>? ...formly and at random, and independently of the first choice, from the line segment joining <math>(0,1)</math> to <math>(2,1)</math>. What is the probability t14 KB (2,199 words) - 12:43, 28 August 2020
- ...midpoint of the minor arc <math>AB</math>. What is the length of the line segment <math>AC</math>? Let <math>\alpha</math> be the angle that subtends the arc <math>AB</math>. By the law of cosines,2 KB (319 words) - 12:48, 15 February 2021