**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

**Related items**

### 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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