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This file is licensed under the United Kingdom Open Government Licence v3.0.: You are free to: copy, publish, distribute and transmit the Information; adapt the Information; ...
This file is licensed under the United Kingdom Open Government Licence v3.0.: You are free to: copy, publish, distribute and transmit the Information; adapt the Information; ...
Similarly, a comparison can be made between the perimeter of the shape and that of its convex hull, [3] its bounding circle, [1] or a circle having the same area. [1] Other tests involve determining how much area overlaps with a circle of the same area [2] or a reflection of the shape itself. [1]
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Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary. A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint ...
The area of a triangle can be demonstrated, for example by means of the congruence of triangles, as half of the area of a parallelogram that has the same base length and height. A graphic derivation of the formula T = h 2 b {\displaystyle T={\frac {h}{2}}b} that avoids the usual procedure of doubling the area of the triangle and then halving it.
The Polsby–Popper test is a mathematical compactness measure of a shape developed to quantify the degree of gerrymandering of political districts. The method was developed by lawyers Daniel D. Polsby and Robert Popper, [1] though it had earlier been introduced in the field of paleontology by E.P. Cox. [2] The method was chosen by Arizona's redistricting commission in 2000.
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