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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. Circular segment - Wikipedia

    en.wikipedia.org/wiki/Circular_segment

    In the design of windows or doors with rounded tops, c and h may be the only known values and can be used to calculate R for the draftsman's compass setting. One can reconstruct the full dimensions of a complete circular object from fragments by measuring the arc length and the chord length of the fragment. To check hole positions on a circular ...

  4. Annulus (mathematics) - Wikipedia

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

    The area of an annulus is the difference in the areas of the larger circle of radius R and the smaller one of radius r: = = = (+) (). As a corollary of the chord formula, the area bounded by the circumcircle and incircle of every unit convex regular polygon is π /4

  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. 7 Tips for Having More Energy - AOL

    www.aol.com/lifestyle/7-tips-having-more-energy...

    How to Have More Energy: 7 Tips. This article was reviewed by Craig Primack, MD, FACP, FAAP, FOMA. Life can get incredibly busy, and keeping up often hinges on having enough energy.

  7. Commonwealth leaders say 'time has come' for discussion on ...

    www.aol.com/news/king-charles-queen-camilla...

    APIA, Samoa (Reuters) -Commonwealth leaders, ending a week-long summit in Samoa, said on Saturday the time had come for a discussion on whether Britain should commit to reparations for its role in ...

  8. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    The radius of a circle is perpendicular to the tangent line through its endpoint on the circle's circumference. Conversely, the perpendicular to a radius through the same endpoint is a tangent line. The resulting geometrical figure of circle and tangent line has a reflection symmetry about the axis of the radius.

  9. Trump's Treasury pick, tariffs, and retail therapy: 3 themes ...

    www.aol.com/finance/trumps-treasury-pick-tariffs...

    Still, Trump's nomination of Scott Bessent to the top Treasury post raised hopes that tariffs will be more measured. And with only 21 trading days left in the year, analysts, investors, and market ...