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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 area refers to the area of an open surface or the boundary of a three-dimensional object.
In physics and mathematics area and volume is used to find the space covered or inside an object. This can be useful to determine things like the density or pressure of an object. Here you will learn the formulas of area and volume, how they are derived, why they make sense, and how to use these formulas relating to physics.
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SymbolQuantitySymbolSi unitr, rposition, separation, radius, radius of ...mmeters, sdisplacement, distancemmeterθ, φ, θ, φangle, angular displacement, angular ...radradianx, y, zcartesian coordinatesmmeterThe units that scientists use all over the world are standardised in the Système Internationale d'Unités - SI units. It is important to remember these six fundamental (or 'base') units of...
- Calculating The Area of A Rectangle
- Calculating The Area of A Triangle
- Calculating The Area of A Trapezoid
- Alternative Method For Trapezoids
Now we will look at a few example computations of the area for each of the above geometric shapes. First consider the calculation of the area for a few rectangles. The solution for finding the area is shown for the first example below. The shaded rectangle on the velocity-time graph has a base of 6 s and a height of 30 m/s. Since the area of a rect...
Now we will look at a few example computations of the area for a few triangles. The solution for finding the area is shown for the first example below. The shaded triangle on the velocity-time graph has a base of 4 seconds and a height of 40 m/s. Since the area of triangle is found by using the formula A = ½ * b * h, the area is ½ * (4 s) * (40 m/s...
Finally we will look at a few example computations of the area for a few trapezoids. The solution for finding the area is shown for the first example below. The shaded trapezoid on the velocity-time graph has a base of 2 seconds and heights of 10 m/s (on the left side) and 30 m/s (on the right side). Since the area of trapezoid is found by using th...
An alternative means of determining the area of a trapezoid involves breaking the trapezoid into a triangle and a rectangle. The areas of the triangle and rectangle can be computed individually; the area of the trapezoid is then the sum of the areas of the triangle and the rectangle. This method is illustrated in the graphic below. Triangle: Area =...
May 26, 2023 · Area is the amount of surface a two-dimensional shape can cover, measured in square units. The SI unit of area is the square meter (m2), which is a derived unit.
4 days ago · The cross-section of an area is a length. Forces act at every point along a length (not all of these forces are shown). The force at each point is the same. There is a mathematical relationship between the pressure on an area and the force acting perpendicular to all the sides of the area.
