Mathematics
8 Online
OpenStudy (calculusxy):
MEDAL!
The radius of circle B is 2.5 times the radius of circle A. If the area of circle A is 8 square yards, what is the area of circle B?
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OpenStudy (studygurl14):
First step. Find the radius of circle A using the area of 8 yd^2
OpenStudy (calculusxy):
Well here is the work that I did.
OpenStudy (studygurl14):
Okay.
OpenStudy (calculusxy):
\[3.14 \times r^2 = 8\]
\[r^2 = 3\]
\[\sqrt{3}=1.73\]
OpenStudy (calculusxy):
\[1.73 \times 2.5 = 4.33 yards\]
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OpenStudy (studygurl14):
First off, I wouldn't round 2.548 to 3...
OpenStudy (calculusxy):
Okay
OpenStudy (studygurl14):
it's best to keep it as accurate as possible, and only round towards the end.
OpenStudy (calculusxy):
understood..
OpenStudy (studygurl14):
So take the square root of 2.5477. What do you get?
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OpenStudy (studygurl14):
round to the nearest thousandth
OpenStudy (calculusxy):
1.568
OpenStudy (calculusxy):
And then i multiply by 3 right?
OpenStudy (studygurl14):
i got something different...
OpenStudy (calculusxy):
Sorry 2.5
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OpenStudy (studygurl14):
no...i got 1.596, not 1.568
OpenStudy (calculusxy):
yes. i typed it wrong in the calculator.
OpenStudy (calculusxy):
and then what do i do?
OpenStudy (studygurl14):
That's the approx. radius circle A. Multiply by 2.5 to find the radius of circle B
OpenStudy (calculusxy):
@StudyGurl14 Thank you.