How to Find the Area of Geometric Shapes

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Finding the area of geometric shapes requires being familiar with their respective formulas, as each type of shape involves different methods and equations. Determine the area of various geometric shapes with instructions from a college-level math teacher in this free video on geometry.

Part of the Video Series: Geometry Tips
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So how does one find the area of geometric shapes. Hi, I'm Jimmy Chang, I've been teaching college mathematics for nine years and in order for you to find the area of those geometric shapes, you definitely need to be familiar with their respective formulas. Now there are a lot of different shapes out there that you can find area of, but we're just going to pick a couple of them, just to get the point across, that you really need to know the formulas and those parts to plug in those respective formulas. So, we're going to start off first with that of a circle a circle is probably the most unique out of the bunch in the common geometric shapes. And that a circle, what you need to know, especially is to find the radius of a circle because the area formula is A equals pi r squared. Now, suppose you know that the radius is equal to 4, all you need to do is plug in the 4 where the r is so the area is A equal to pi times 4 squared. All you need to do is do the math and 4 squared you know is 16 so your area is equal to 16 pi. Now that is the exact number of units for area, but if you want you can get an approximation by letting pi equal to approximately 3.14 and you'll get a more decimal representation of the area. Now, another common shape that we all tend to know is that of a rectangle. A rectangle has a length and a width. And so the area would be length times width. Now, let's just say for example that you knew the length to be 4 feet, and the width, let's just say 2 feet. Now, one thing in the area you definitely want to keep in mind is the area is always measured in square units, so in this particular case when you plug in the numbers, you also want to include the respective units, so length is 4 feet, width is 2 feet, so you multiply the numbers, 4 times 2 which is equal to 8 and feet times feet is going to be feet squared or as we say in practical uses, 8 square feet. So it's not only important to multiply the numbers but also their respective units so you get the accurate picture because eight square feet is actually a lot different than 8 regular feet. So, I'm Jimmy Chang and there's a couple of representations of how to find the areas of geometric figures.

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