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Definite Integrals and Area

"Definite integrals can be used to find the area under, over, or between curves. If a function is strictly positive, the area between it and the x axis is simply the definite integral. If it is simply ...

Cross Product Area

"Finding the area of a parallelogram in two dimensions involves the area determinant of a 2x2 matrix, but if we're given a parallelogram in three dimensions we can use the cross product area. The cros ...

Polygon Apothem

"An apothem is a perpendicular segment from the center of a regular polygon to one of the sides. When radii are drawn from the center to the vertices of the polygon, congruent isosceles triangles are ...

Circumference

"Circumference can be thought of as the "perimeter" of a circle or the distance around a circle. Since pi is the ratio of circumference to diameter, circumference can be calculated by multiplying the ...

Multiplying Polynomials Using Distribution

"There are different methods for multiplying polynomials. One method is to use an area model, but another way to multiply polynomials without having to draw diagrams, is to multiply polynomials using ...

Multiplying Polynomials

"There are different methods for multiplying polynomials. One method is to use an area model, but another way to multiply polynomials without having to draw diagrams, is to multiply polynomials using ...

Area Ratios

Hipervinculo Matemáticas

Area Ratios

"If two triangles are similar, then their corresponding sides are proportional. Since sides are a length and lengths are one dimensional, the side ratio will not predict the ratio of the areas. To fin ...

Area of Triangles

"The formula for calculating the area of triangles comes from dividing a parallelogram in half, so the area is half of base times height. When finding the area of a triangle, the height is an altitud ...

Area of Trapezoids

"The area formula for a trapezoid is found by making a parallelogram made up of two congruent trapezoids. To do this, copy a trapezoid, rotate the copy 180 degrees, and translate to create a parallel ...

Area of Regular Polygons

"If radii are drawn from the center of a regular polygon to the vertices, congruent isosceles triangles are formed. Using the apothem as the height and the polygon side as the base, the area of each ...

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