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Mathematics 18 Online
OpenStudy (anonymous):

File attached, sort of long question.

OpenStudy (anonymous):

OpenStudy (anonymous):

@31356

OpenStudy (31356):

Sorry, I haven't learned about this yet. o.0 Sorry........

OpenStudy (anonymous):

its fine thanks for the help :)

OpenStudy (anonymous):

@hoblos

OpenStudy (31356):

Anytime :D

OpenStudy (anonymous):

@zepdrix

OpenStudy (whpalmer4):

Well, look at the first one. It asks if the numerical values of area and circumference are equal if r = 2, then gives a list of formulas: \[A = \pi r^2 \qquad C = 2\pi r\]\[A = \pi\cdot r\cdot r\qquad C = \pi\cdot r\cdot 2\]\[A = (\pi\cdot r)\cdot r \qquad C = (\pi\cdot r)\cdot 2\] Can you find the various values of A and C?

OpenStudy (anonymous):

Well A is area and C is circumference

OpenStudy (whpalmer4):

no need to break out the calculator, just leave \(\pi\) as \(\pi\), so the very first one would be \(A = \pi (2)^2 = \pi*4 = 4\pi\)

OpenStudy (anonymous):

So it would be the first one?

OpenStudy (whpalmer4):

Go through and evaluate all of those equations under the conditions given. r = 2 what do you get?

OpenStudy (anonymous):

The second and fourth one.

OpenStudy (whpalmer4):

what is the value of A in each of those equations? What is the value of C in each of those equations?

OpenStudy (anonymous):

Oh, well if r=2 then for A it would be 2 times 2 times 3.14 and then for C it would be 4 times 3.14 Which gives 12.56 for each one so it would be the first one only

OpenStudy (whpalmer4):

I guess you didn't understand my request to leave \(\pi\) as \(\pi\) rather than making a number... so \( A = 4\pi\) and \(C = 4\pi\) for all of those forms when \(r = 2\), yes?

OpenStudy (anonymous):

Yes

OpenStudy (whpalmer4):

Good. Moving along in methodical fashion, the next statement is "The numerical value of the area is less than the numerical value of the circumference when r < 2" Pick a value of \(r < 2\). How about 1? Now find the values of A and C.

OpenStudy (whpalmer4):

I hope you're in agreement that all of the formulas for A are equivalent, and all of the formulas for C are equivalent as well.

OpenStudy (anonymous):

Oh I get it, I'll do it on a sheet of paper since I gotta get off the computer, thanks for the help :)

OpenStudy (whpalmer4):

just work through each statement, finding the values, and deciding if that statement is true or false. Check all the true ones, and you're done.

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