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Mathematics 20 Online
OpenStudy (anonymous):

http://media.education2020.com/evresources/2072227_circle_in_circle.png Find the circumference of the larger circle if the area of one of the smaller circles is 48 pi in2. Will give medal and fan and testimony

jimthompson5910 (jim_thompson5910):

" the area of one of the smaller circles is 48 pi in2" use this info to find the radius of the smaller circle

jimthompson5910 (jim_thompson5910):

Area of a circle \[\Large A = \pi*r^2\]

OpenStudy (anonymous):

Would 48 be the diameter?

jimthompson5910 (jim_thompson5910):

no, 48pi is the area

jimthompson5910 (jim_thompson5910):

A = 48pi

OpenStudy (wolf1728):

48 = PI * r^2 r^2 = 48 / PI

OpenStudy (anonymous):

So would i do 48*pi? Im so confused on this :(

jimthompson5910 (jim_thompson5910):

\[\Large A = \pi*r^2\] \[\Large 48\pi = \pi*r^2\] \[\Large 48 = r^2\] the pi's cancel. Solve for r

OpenStudy (anonymous):

So this\[\sqrt{48}=r ^{2}\]

jimthompson5910 (jim_thompson5910):

more like \[\Large r = \sqrt{48}\]

jimthompson5910 (jim_thompson5910):

you can simplify that radical

OpenStudy (anonymous):

I got 6.92 for the answer

OpenStudy (wolf1728):

Here's a quick answer: It appears that the smaller circle has a radius that is .5 the radius of the larger circle. When calculating area, when you double the size the area increases FOUR times. SO, area of larger circle = 4 * 48 = 192

jimthompson5910 (jim_thompson5910):

it wants the circumference of the larger circle

OpenStudy (anonymous):

Im really sorry that confused me even more :( like all my answer choices are in radical form

OpenStudy (wolf1728):

What are your answer choices?

jimthompson5910 (jim_thompson5910):

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jimthompson5910 (jim_thompson5910):

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