In this geometry lesson, we'll derive the formula for the area of a parallelogram in two ways.First, we will use what we have already done when we found the area of a trapezoid - because we can … [Read more...] about Area of a Parallelogram

# Area of Geometric Shapes

The area of a geometric shape is a property that describes how much space it takes up.

Regular geometric shapes like circles, parallelograms and triangles have simple formulas that give their area.

The area of irregular shapes can sometimes be computed by reducing it into several regular shapes.

Some common area formulas:

For triangles: Area = (h x b) /2

For rectangles: Area = h x w

Since a square is a special type of rectangle, its area is given by the same formula. But since in the square's case the width is the same as the hight, this becomes Area = a x a = a^{2}

A circle's area is given by the formula A_{circle}=π*r^{2}

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*Now that we've explained the basic concept of area in geometry, let's scroll down to work on specific geometry problems relating to this topic.*

## Area of a Trapezoid

It is often possible to find the area of polygons with irregular shapes by dividing them into smaller shapes with easily computed areas, like triangles and rectangles. Sometimes this leads to a simple … [Read more...] about Area of a Trapezoid

## How to Find the Area of a Circle

The area of a circle is given by the formula Acircle=π*r2"π" is a special number, which is the same for all circles, and is the ratio between a circle's diameter and its circumference.The … [Read more...] about How to Find the Area of a Circle

## Circles: Finding the Area of a Ring

A ring is made up of two circles same center point. Such circles are called concentric.ProblemA circular hot tub with radius 6 feet has a sitting area around its perimeter, with a width of 1 … [Read more...] about Circles: Finding the Area of a Ring

## Finding the Area of an Isosceles Triangle

Let's put into practice a number of the properties we've proven so far, in the following geometry problem:In an isosceles triangle, ΔABC, with leg length 10, the height to the base is equal to … [Read more...] about Finding the Area of an Isosceles Triangle