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Mathematics 19 Online
OpenStudy (anonymous):

Medal+Fan

OpenStudy (anonymous):

OpenStudy (ryuga):

1.c 2.b 3.d 4.a

OpenStudy (anonymous):

OpenStudy (anonymous):

@Ryuga

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (mathmale):

Cam: You've posted several problems here. Which one do you want to solve NOW?

OpenStudy (anonymous):

the very last one

OpenStudy (anonymous):

this one

OpenStudy (mathmale):

OK. Please type in the formula for the AREA of a circule whose radius is r.

OpenStudy (anonymous):

a=π times R^2

OpenStudy (mathmale):

By that I meant "the general formula." Yes, you're right. If A is the area of the circle, and r is the radius, then the relationship between A and r is given by \[A=\pi r^2\]

OpenStudy (mathmale):

OKI. Now go back to the statement of the problem you've most recently posted. Does that statement give you the area of the given circle? if so, what is it?

OpenStudy (anonymous):

314 2/7 cm^2

OpenStudy (mathmale):

Right. Now, look again at \[A=\pi r^2\]

OpenStudy (mathmale):

Replace A with 314 2/7 cm^2.

OpenStudy (anonymous):

314 2/7=22/7 times r^2

OpenStudy (mathmale):

Write out the whole equation, please. Why "times?"

OpenStudy (anonymous):

because there is no multiplication button

OpenStudy (mathmale):

Use * to denote multiplication.

OpenStudy (mathmale):

\[A=\pi r^2\]

OpenStudy (mathmale):

Let's try this problem solution a different way. The above equation has two variables, A and r. You have the value of one of them. Which one? And what is that value?

OpenStudy (anonymous):

with have the value for A and π because my teacher keeps telling me that pie equals 22/7

OpenStudy (mathmale):

Cam, you can use 22/7 as an APPROXIMATION pi. But that's not what I asked you. I've given y ou the equation \[A=\pi r^2\]

OpenStudy (mathmale):

and told you that there are 2 variables in this equation, A and r. For which one do y ou have a value, and what is that value?

OpenStudy (anonymous):

A and the value is 314 2/7

OpenStudy (mathmale):

Yes. that is approximately equal to 314.28.

OpenStudy (mathmale):

I'd like for you to write the GENERAL formula for the area of a circle, below:

OpenStudy (mathmale):

No numbers!

OpenStudy (anonymous):

A=πr squared

OpenStudy (anonymous):

i had to put the word squared because i can't put numbers

OpenStudy (mathmale):

All right. That is the correct formula for the area of a circle. NOW, CAM, you are told that the area is 314 2/7. Please type in the same formula, BUT replace A with 314 2/7.

OpenStudy (anonymous):

314 2/7=πr squared

OpenStudy (mathmale):

Right. Now, Cam, your job is to solve that equation for the radius, r. How would you do that?

OpenStudy (anonymous):

you have to insert what pi is

OpenStudy (anonymous):

then solve

OpenStudy (mathmale):

You have 314 2/7 = pi * r ^2

OpenStudy (mathmale):

the first step is to isolate (solve for) r^2 (which means "r squared"). Leave pi alone; we will worry about its numerical value later. Solve the above equation for r^2, please. Leave pi as the symbol,

OpenStudy (mathmale):

|dw:1449857600594:dw|

OpenStudy (mathmale):

Hint: Divide both sides of the equation by pi.

OpenStudy (mathmale):

|dw:1449857643435:dw|

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