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TSI Math: Finding the Area of a Regular Polygon 17 Views


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Description:

A regular polygon has apothem lengths of 9, side lengths of 3, and 12 sides. What is the area for this shape?


Transcript

00:02

Simon shmoop er's Here we go A regular polygon has

00:05

a possum Lengths of nine side lengths of three and

00:10

twelve sides what's the area for this shape Well breaking

00:18

the mold might be what makes some math famous But

00:22

when it comes to regular polygons you do not want

00:25

to break the mold In fact regular polygons give the

00:28

side eye to anything that's not regular Lucky for us

00:31

we're working with a regular polygon because it means that

00:33

we confined the area using our trusty area of a

00:36

regular polygon formula And of course our brilliant brains So

00:41

let's see the formula for the area of a regular

00:42

polygon is a equals one half and s are where

00:45

n is the number of sides ass equals the side

00:48

length and our equals the possum length Well we've been

00:51

given the values of all these variables Eso all we

00:54

have to do is substitute them into the formula do

00:57

some math and and high five each other Yeah So

01:00

let's All right so we got a equals one half

01:02

and sa and that's one half times twelve times through

01:04

unit times nine units and altogether gets us one hundred

01:07

sixty two square units And easy spot for error is

01:10

forgetting to divide by half here like a did or

01:13

casually multiplying by two instead of dividing by it like

01:16

you see But anyway that's it The answer is b 00:01:18.718 --> [endTime] one sixty two square units and we are sure

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