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Old December 3rd, 2008, 01:47 AM
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Default geometry help... please!

This seems really basic to everything else I see posted... hopefully I can get some help.. asap Thank you!

A circular window has an area of 10 square feet. Find the circumference of the window.
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Old December 3rd, 2008, 01:51 AM
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The area of a circle is given by:
A = \pi r^2

The circumference of a circle is given by:
C = 2\pi r

Find the radius from the given area, then find the circumference.
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Old December 3rd, 2008, 02:16 AM
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thank you.. I guess I need a little more help, cause I have that info, I am not sure how to do that part though.

I have the area at 10 ft ^2
so how do I figure the circumference with that? I guess first figure out the radius? and how do I do that?

thank you so much! really.. sorry for needing more help... hope you can help me!
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Old December 3rd, 2008, 02:33 AM
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Originally Posted by mathmom View Post
thank you.. I guess I need a little more help, cause I have that info, I am not sure how to do that part though.

I have the area at 10 ft ^2
so how do I figure the circumference with that? I guess first figure out the radius? and how do I do that?

thank you so much! really.. sorry for needing more help... hope you can help me!
Solve 10 = \pi r^2 for r: r^2 = \frac{10}{\pi} \Rightarrow r = \, ....

Then substitute the value for r into C = 2 \pi r.
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Old December 3rd, 2008, 08:49 AM
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Thank you.. could you check this and see if it is correct?
r^2=10/pi
3.183098862=r^2

20=2(pi)(3.183098862)
so the cirucumference is 20? is that right?
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Old December 3rd, 2008, 09:30 AM
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You substituted r^2 instead of r, which is wrong.

r^2 = \frac{10}{\pi}

r = \sqrt{\frac{10}{\pi}} \approx 1.78412411615
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