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Perimeter, area, surface area and volume

Perimeter, area, surface area and volume

This animation presents the formulas to calculate the perimeter and area of shapes as well as the surface area and volume of solids.

Mathematics

Keywords

volume, surface, circumference, area, sphere, pyramid, cylinder, circle sector, circle, triangle, rectangle, square, cone, cuboid, base area, lateral surface, parallelogram, formula, geometry, solid geometry, mathematics

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Scenes

  • trapezoid

A two-dimensional geometric shape is a part of a plane that is enclosed by straight or curved lines, does not contain any holes and remains intact even if one of its points is removed.

The area is a function that assigns a positive number to all two-dimensional geometric shapes with the following conditions:

1. The area of the unit square is 1.
2. The area of congruent geometric shapes is equal.
3. If we divide a geometric shape into several parts, the sum of the areas of the parts is equal to the area of the original geometric shape.

The area of a rectangle is the product of its width and height.

The area of a triangle is half the product of its base length and its height. (This formula derives from the formula of the area of the parallelogram.)

The area of a parallelogram is the product of its base length and height.

The area of a trapezoid is the product of half the sum of the parallel sides and its height.

The area of a circle can be calculated by multiplying the square of its radius with π (pi).

The area of a circular sector can be calculated from the area of the full circle, using the ratio of the central angle to the full angle (360°).

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