ShmoopTube

00:03

Okay Math people Next question for you The square shown

00:06

here has a perimeter of twenty four meters What's the

00:10

area of the circle in square meters So ready to

00:17

square the circle Sure Ancient gm attrition Sze worked for

00:21

hundreds of years to complete this impossible task but well

00:25

we think you could do it in the next minute

00:27

We believe in you Okay actually the question isn't asking

00:30

us to make the area of the square match the

00:33

area of the circle Instead we just need to find

00:36

the area of the circle given the perimeter of the

00:39

square Well we can solve this problem by finding the

00:42

length of one side of the square which then leads

00:45

us to the dye gamut Er of the circle will

00:47

a square with side as has perimeter four asked So

00:50

you just find asked by dividing the perimeter by four

00:53

We'll square here they tell us has a perimeter a

00:55

twenty for so it must have a side length of

00:58

six Right Twenty four over for well the diagram shows

01:01

that the diameter of this circle is equal to the

01:03

side of the square because the square and the circle

01:05

of the same length across so d their diameter is

01:09

six The radius of a circle then is half the

01:12

diameter or six over two or three we know that's

01:15

a lot of reasoning but we're almost at the part

01:17

where we saw the whole thing in an impressive final

01:20

display of mathematical know how so I don't give up

01:23

yet The area of a circle is pi r squared

01:26

right That's the formula Well in this problem are his

01:28

three So the area is pi three squared or nine 00:01:32.748 --> [endTime] Hi And that's it It's just be yeah

Full Transcript