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area and surface area

 

Definitions from the Web

Area and Surface Area

Description:

Area: In mathematics, area refers to the measure of the extent of a two-dimensional shape or surface, usually expressed in square units such as square centimeters or square meters. It quantifies the amount of space an object occupies within a defined boundary.

Surface Area: Surface area, on the other hand, specifically refers to the total area of all the exposed surfaces of a three-dimensional object such as a cube, sphere, or cylinder. It is the sum of the areas of all the individual faces or surfaces.

Examples:

Area:
1. The area of a rectangle can be calculated by multiplying its length by its width.
2. The area of a circle is calculated using the formula πr^2, where r represents the radius of the circle.
3. The area of a triangle can be found by multiplying its base by its height and dividing the result by 2.

Surface Area:
1. To paint a rectangular box, you need to know the surface area of all its sides.
2. The formula for finding the surface area of a sphere is 4πr^2, where r represents the radius of the sphere.
3. When buying wallpaper, make sure you measure the surface area of the walls to determine how much you need.

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