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  2. Intersecting chords theorem - Wikipedia

    en.wikipedia.org/wiki/Intersecting_chords_theorem

    The value of the two products in the chord theorem depends only on the distance of the intersection point S from the circle's center and is called the absolute value of the power of S; more precisely, it can be stated that: | | | | = | | | | = where r is the radius of the circle, and d is the distance between the center of the circle and the ...

  3. Polygon - Wikipedia

    en.wikipedia.org/wiki/Polygon

    The area of a regular polygon is given in terms of the radius r of its inscribed circle and its perimeter p by A = 1 2 ⋅ p ⋅ r . {\displaystyle A={\tfrac {1}{2}}\cdot p\cdot r.} This radius is also termed its apothem and is often represented as a .

  4. Annulus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Annulus_(mathematics)

    Each annulus ann(a; r, R) can be holomorphically mapped to a standard one centered at the origin and with outer radius 1 by the map . The inner radius is then ⁠ r / R ⁠ < 1. The Hadamard three-circle theorem is a statement about the maximum value a holomorphic function may take inside an annulus.

  5. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    A circle circumference and radius are proportional. The area enclosed and the square of its radius are proportional. The constants of proportionality are 2 π and π respectively. The circle that is centred at the origin with radius 1 is called the unit circle. Thought of as a great circle of the unit sphere, it becomes the Riemannian circle.

  6. Vikings reportedly trading for Jaguars left tackle Cam Robinson

    www.aol.com/sports/vikings-reportedly-trading...

    The Minnesota Vikings have agreed to a trade to acquire left tackle Cam Robinson from the Jacksonville Jaguars, NFL Network reports. The deal provides protection for Sam Darnold's blind slide ...

  7. Teen may be tried as adult for stabbing 13-year-old ...

    www.aol.com/teen-arrested-stabbing-13-old...

    A middle school cheerleader in Tennessee was stabbed to death by a 15-year-old boy — and now prosecutors are aiming to try him as an adult. Savannah Copeland, a 13-year-old...

  8. Gauss circle problem - Wikipedia

    en.wikipedia.org/wiki/Gauss_circle_problem

    If the answer for a given is denoted by () then the following list shows the first few values of () for an integer between 0 and 12 followed by the list of values rounded to the nearest integer: 1, 5, 13, 29, 49, 81, 113, 149, 197, 253, 317, 377, 441 (sequence A000328 in the OEIS )

  9. Klubnik not enough to carry Clemson over Texas in homecoming ...

    www.aol.com/klubnik-not-enough-carry-clemson...

    Klubnik led the Tigers (10-4) on a four-play, 55-yard touchdown drive in the third quarter, the final 25 on a pass to running back Jarvis Green that left Clemson trailing 31-17.