The area of a circle is 16cm^2. What is the circumference in centimeters? Express in terms of Pie.
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kristen000021:
C≈14.18 cm
Use the formula:
A= πr^2
C=2πr
Solve for C-
C=2 [(Squarroot)πA]=2·[(squarroot)π·16]≈14.17963cm
SsTDOGRednek:
My thing said that's wrong.
kristen000021:
then maybe its 256cm^2
The area of the circle is given by \(A=\pi r^{2}\). We know that \(A=256\text{\ cm}^{2}\). Therefore, we have the equation \(\pi r^{2}=256\).
Divide both sides of the equation by \(\pi \): \(r^{2}=\frac{256}{\pi }\)
Take the square root of both sides: \(r=\sqrt{\frac{256}{\pi }}\) Simplify the square root: \(r=\frac{\sqrt{256}}{\sqrt{\pi }}\) \(r=\frac{16}{\sqrt{\pi }}\)
kristen000021:
@sstdogrednek wrote:
My thing said that's wrong.
32 is it
SsTDOGRednek:
it's 8 Pie
16/2
c=2 times Pie times 4
c= 8 Pie
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kristen000021:
ur question doesn't divide tho
kristen000021:
but alr
SsTDOGRednek:
Hey that's what delta math told me to do so idk
SsTDOGRednek:
and the dividing is how you get the radius
kristen000021:
oh ok
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kristen000021:
sorry
SsTDOGRednek:
It's ok, thankyou for trying to help though!
KnoxxyBoy:
also 2πr can be switched out for dπ if its easier for ya
SsTDOGRednek:
Diameter?
KnoxxyBoy:
yes
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