Are you having trouble with geometry formulas? Plenty of students need geometry help because they have a hard time with all those pesky shapes and angles. Luckily, once you understand some of geometry's basics, you'll have an easier time grasping some of the more advanced topics. Let's take a look at some of the basic formulas and find out what they mean.
Area of a Rectangle
The area of a shape is how much space it takes up.
There's an easier way to calculate the area without drawing the squares. Just take the length, 8 feet, and multiply it by the width, which is 5 feet. 8 x 5 = 40, so the area is 40 feet.
The area for a rectangle is its length multiplied by its width, which is usually abbreviated to Arect = lw.
Area of a Triangle
Who Wants Pi?
Pi is very important to the study of geometry, specifically circles. It is a mathematical constant, which means its value will never change. It is always equal to 3.14, which is actually a number that's been rounded. Pi doesn't divide perfectly, so it's true value can be taken to an infinte number of decimal places.
Pi represents the ratio of any circle's circumference (the distance around a circle) to its diameter (the distance across a circle). To calculate the area of a circle, you'll need to take the radius, which is half of the diameter, and square it (multiply the number by itself), then multiply that number by pi.
For example, if we have a circle with a diameter of 6 feet, to calculate the area we just need to find the radius and plug it into the formula. 6 / 2 = 3 feet, which is the radius. 3 x 3 = 9. 9 x 3.14 = 28.26 feet, the area of the circle.
Most calculators include a symbol for pi that will automatically plug 3.14 into the equation so you don't have to type it over and over again.
These basic formulas are the basis for most geometry study. But why does area matter? Whether you're building a house, making a bottle of soda or just packing for a vacation, you need to know how much space you have to use. Otherwise, things won't fit right. If you can calculate area, you'll know how much room an object takes up and how much room it has inside.
If you've ever played pool, you've seen geometry and physics in action. Learning how to use the diamond aiming system on a pool table will show you just how important geometry is to the game of pool.
Non-Euclidean geometry evolved from mathematical breakthroughs of the early 19th century, offering scientists a way to illustrate highly complex concepts of physics, space and time.
Why is geometry important? Whether you're studying science or just playing a game of baseball, geometry is at work.