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The region inside the polygon (its interior) forms a bounded set [2] topologically equivalent to an open disk by the Jordan–Schönflies theorem, [10] with a finite but nonzero area. [11] The polygon itself is topologically equivalent to a circle, [12] and the region outside (the exterior) is an unbounded connected open set, with infinite area ...
Suppose that the area C enclosed by the circle is greater than the area T = cr/2 of the triangle. Let E denote the excess amount. Inscribe a square in the circle, so that its four corners lie on the circle. Between the square and the circle are four segments. If the total area of those gaps, G 4, is greater than E, split each arc in
This formula is also known as the shoelace formula and is an easy way to solve for the area of a coordinate triangle by substituting the 3 points (x 1,y 1), (x 2,y 2), and (x 3,y 3). The shoelace formula can also be used to find the areas of other polygons when their vertices are known.
A 15-year-old boy was fatally stabbed in the heart by a group of teenage attackers while he was on a Valentine's Day date at a California mall.
National Donor Day honors organ, eye, tissue, blood, and marrow donors and recipients and raises awareness about the importance of these donations.
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An arbitrary shape. ρ is the distance to the element dA, with projections x and y on the x and y axes.. The second moment of area for an arbitrary shape R with respect to an arbitrary axis ′ (′ axis is not drawn in the adjacent image; is an axis coplanar with x and y axes and is perpendicular to the line segment) is defined as ′ = where
In geometry, a star polygon is a type of non-convex polygon. Regular star polygons have been studied in depth; while star polygons in general appear not to have been formally defined, certain notable ones can arise through truncation operations on regular simple or star polygons.