Geometry Formulas Definitions and Examples
Introduction
Geometry is a branch of mathematics that deals with the study of shapes, sizes, and relative positions of figures. It is one of the oldest branches of mathematics, dating back to ancient Greece. Geometry has many formulas that deal with angles, lines, polygons, and circles. In this blog post, we will explore some of the most common geometry formulas and their definitions and examples. After reading this post, you should have a better understanding of basic geometry terms and be able to use them in your own calculations.
What Are Geometry Formulas?
There are a few basic geometric formulas that you should memorize. These will come in handy on a variety of tests and will make solving geometry problems much easier.
Pythagorean Theorem: This theorem is probably the most well known of all the geometry formulas. It states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
So if we have a triangle like this:
The Pythagorean Theorem tells us that:
a^2 + b^2 = c^2
This theorem has many practical applications, especially in architecture and construction.
Area Formulas:
There are different formulas for finding the area of different shapes.
For example, the area of a rectangle is:
A = lw (where A is area, l is length, and w is width)
And the formula for a parallelogram is:
A = bh (where A is area, b is base, and h is height)
You should also memorize the formula for finding the area of a triangle, which is:
A = 1/2bh (where A is area, b is base, and h is height)
These formulas will come in handy on a variety of tests.
List of Geometry Formulas
There are a variety of geometry formulas that deal with different aspects of geometric shapes. Here is a list of some important geometry formulas and their definitions:
-Area: The area of a geometric shape is the measure of the size of the region enclosed by the shape. It is usually represented by the symbol A.
-Perimeter: The perimeter of a geometric shape is the length of the boundary of the shape. It is usually represented by the symbol P.
-Volume: The volume of a three-dimensional object is the amount of space that it occupies. It is usually represented by the symbol V.
-Surface area: The surface area of a three-dimensional object is the measure of the total area of all its surfaces. It is usually represented by the symbol S.
Solved Examples Using Geometry Formulas
There are a few standard formulas in geometry that you can memorize and use to calculate various properties of shapes. These include formulas for finding the perimeter, circumference, and area of basic shapes like triangles, rectangles, squares, circles, and trapezoids. You can also use geometry formulas to find the surface area and volume of three-dimensional figures.
Here are some examples of how to use geometry formulas to solve common problems:
1. Find the perimeter of a rectangle with dimensions 10 cm by 5 cm.
P = 10 + 10 + 5 + 5 = 30 cm
2. Find the circumference of a circle with radius 3 cm.
C = 2?r = 2?(3) = 6? ? 18.85 cm
3. Find the area of a square with sides 4 cm long.
A = 4² = 16 cm²
4. Find the surface area of a cube with sides 6 cm long.
SA = 6² × 6 = 216 cm²
Conclusion
Geometry is a branch of mathematics that deals with the properties and relations of points, lines, angles, surfaces, and solids. In this article, we have discussed some geometry formulas along with their definitions and examples. We hope you found this information to be helpful in your studies.
