If the circumference of a circle of radius r inches is equal to the perimeter of a square with aside length of s inches so r/s=?
Do you have the formula for the circumference of a circle?
Yes 2pi\[^{2}\]
almost... it's 2 π r like 2 times pi times the radius.
And what is the perimeter of the square with sides that are "s" inches each? You won't have a number, but just add up each of the 4 sides with length "s"... you get "4s" Are you with me so far?
yes
This problem says the the circle's circumference is equal to the square's perimeter. Let's write an equation that shows they are equal...
2πr = 4s Does that make sense? You have circumference on the left, and perimeter on the right.
yes
Ok, so the last thing the problem asks is, what is r / s ? You need to take that equation and shift things around until you have r/s on one side of the equation... then it equals the stuff on the other side. 2πr = 4s ----->>>> r/s = ???
im confused what to do when i get pi r divided by s =2
Try to do the next step... you might divide both sides by "s".... that way you would at least have an "r/s" with some other stuff on the left side... it's a decent start.
is that what you get? π r/s = 2
yes
You're almost done :) Now divide both sides by π to leave r/s all alone on the left side
r/s = 2/π If you need to show it as numbers, hopefully they told you how to estimate "pi"... like if they said "estimate pi as 3.14", then you can do 2/3.14 as the solution. Otherwise, just leave it as 2/π
So you don't really know or even need to know what "r" and "s" were... you just found their ratio, just like the problem asked... It was just a matter of writing the formulas for each, setting them equal, and then simplifying.
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