Calculate the Area of a Trapezoid
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calculus, the trapezoidal rule (also known as the trapezoid rule or trapezium rule) is a technique for numerical integration, i.e., approximating the definite...
Shoelace formula (redirect from Gauss' area formula)forestry, among other areas. The formula was described by Albrecht Ludwig Friedrich Meister (1724–1788) in 1769 and is based on the trapezoid formula which was...- A}}}}\ \right)} AUC of glucose concentration change following food intake is used to calculate the glycemic index. The use of trapezoidal rule in...
Integral (redirect from Area under a curve)integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing...
Base (geometry) (category Parts of a triangle)considered to be the "bottom" of the figure. This term is commonly applied in plane geometry to triangles, parallelograms, trapezoids, and in solid geometry...
Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface...
is swept. The area A of such a trapezoidal wing may be calculated from the span s, root chord cr and tip chord ct: A=scr+ct2{\displaystyle A=s{\frac {c_{r}+c_{t}}{2}}}...
Riemann sum (section Trapezoidal rule)curves and other approximations. The sum is calculated by partitioning the region into shapes (rectangles, trapezoids, parabolas, or cubics — sometimes...
Geometric series (category Pages displaying wikidata descriptions as a fallback via Module:Annotated link)in the partial series reduces the area of that white triangle remainder by the area of the trapezoid representing the added term. The trapezoid areas (i...
Quadrilateral (section Area of a convex quadrilateral)was once called a trapezoid. For more, see Trapezoid § Trapezium vs Trapezoid.) Trapezium (UK) or trapezoid (US): at least one pair of opposite sides are...
Square (category Types of quadrilaterals)This led to the use of the term square to mean raising to the second power. The area can also be calculated using the diagonal d according to A=d22.{\displaystyle...
case. Any shape other than a simple trapezoid requires evaluation of the above integral. The ratio of the length (or span) of a rectangular-planform wing...
Numerical integration (redirect from Squaring of curves)The ancient Babylonians used the trapezoidal rule to integrate the motion of Jupiter along the ecliptic. For a quadrature of a rectangle with the sides...
British flag theorem (section Isosceles trapezoid)The British flag theorem can be generalized into a statement about (convex) isosceles trapezoids. More precisely for a trapezoid ABCD{\displaystyle...
Kite (geometry) (category Types of quadrilaterals)axis of symmetry must be either a kite, with a diagonal axis of symmetry; or an isosceles trapezoid, with an axis of symmetry through the midpoints of two...
Receiver operating characteristic (redirect from Area under the curve (receiver operating characteristic))calculate the AUC by using an average of a number of trapezoidal approximations. G1{\displaystyle G_{1}} should not be confused with the measure of statistical...- average) of the various sizes determined by using the above method. Determine the uv-values of the corners of the pixel, use those to calculate the area of the...
- Romberg's method (section A geometric example)estimate the area under a curve the trapezoid rule is applied first to one-piece, then two, then four, and so on. After trapezoid rule estimates are obtained...
Isosceles triangle (category Types of triangles)other dimensions of the triangle, such as its height, area, and perimeter, can be calculated by simple formulas from the lengths of the legs and base. Every...
removed, the remaining portion forms a trapezoid. The first step of defuzzification typically "chops off" parts of the graphs to form trapezoids (or other...
- ruths, or half the product of the base by one side. The area of an isosceles trapezoid is found, similarly, by multiplying half the sum of the parallel sides
- ruths, or half the product of the base by one side. The area of an isosceles trapezoid is found, similarly by multiplying half the sum of the parallel sides
- each rectangle's area If you know how to calculate the area of a trapezoid, you may also use a trapezoid where one side goes between the two endpoints (so