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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 ...
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.
Random chords, selection method 2 The "random radial point" method: Choose a radius of the circle, choose a point on the radius and construct the chord through this point and perpendicular to the radius. To calculate the probability in question imagine the triangle rotated so a side is perpendicular to the radius. The chord is longer than a ...
Hemispherical end caps are just half-spheres at both ends of the cylinder. This object is sometimes called a capsule, or possibly fixed-radius linearly-swept sphere. Cylinder height does not include the end caps. If is the cylinder height including both hemispherical end caps, then =.
Kissing circles. Given three mutually tangent circles (black), there are, in general, two possible answers (red) as to what radius a fourth tangent circle can have. In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this ...
He joins a 5-2 Vikings team with playoff aspirations. The Jaguars have depth on the offensive line and project to promote fourth-year veteran Walker Little to replace Robinson in the starting lineup.
1 1/2 oz special sauce, (usually a combination of mayo, ketchup, pickle relish, Dijon mustard, a little sugar and white vinegar) 1 slice American cheese. 2 oz cooked bacon. 1 fried egg, over easy ...
The measure of ∠AOB, where O is the center of the circle, is 2α. The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that intercepts the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.