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Algebra in Action Example 5037 Views


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Transcript

00:00

Thank you We sneak in and here's your smoke too

00:06

Sure The pose is square with the side S is

00:09

inscribed in a circle You suppose that area in terms

00:13

of s outside of the square but inside of the

00:15

circle is given by the following graph What is the

00:18

approximate area of this region If the square has a

00:22

perimeter of thirty two and here the potential answers So

00:25

before we spoil the ending hit pause and try this

00:28

one yourself Okay this is a multi party way Have

00:33

to remember the formula for the perimeter of a square

00:36

And then we have to be able to read a

00:37

graph with this scurvy line thing So first off a

00:41

square got its name because it means that all four

00:44

sides are equal were socialists two sides good four sides

00:49

better So if the total perimeter is thirty two and

00:52

there are four sides what's thirty two divided by four

00:55

in california that's right Each side has a length of

00:58

eight And who Curveball Note that one of the answers

01:02

here is eight Beware that h is on ly the

01:05

distance of one side of the squares and knowing that

01:08

fact is a big part of the question Like if

01:10

we didn't know how to make that initial fancy drawing

01:13

in the beginning we'd be in real trouble Oh now

01:17

we have to apply that eight unit distance to the

01:20

graph and if we start here and move straight upwards

01:23

until we hit the curve way hit it here and

01:26

come straight left to hit the y axis here So

01:29

where is here Well note that this line is halfway

01:33

between forty eight zero so it's gotta be twenty four

01:36

in our line hits halfway between the twenty four forty

01:38

eight so that line hits thirty six answers See don't

01:43

worry we won't forget to invite you to the bris 00:01:47.714 --> [endTime] Two sides Good four side's better