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Mathematics 15 Online
OpenStudy (jamesreed30):

Find The exact area of a circle having the given circumference three pi

OpenStudy (mhchen):

The area of a circle is radius * radius * pi. The Circumference is (radius * 2) * pi So given Circumference is 3pi: 3 * pi = radius * 2 * pi And we can simplify that to radius = (3 * pi) / (2 * pi) = 3/2 Now that you have the radius, try to solve for the area using the formula at the very top.

OpenStudy (jamesreed30):

So I would do 3 times 3 then get 9 and times that by 3.14 correct?

OpenStudy (mhchen):

No you do (3/2) times (3/2) then times pi

OpenStudy (mhchen):

The radius is (3/2) not 3.

OpenStudy (mrnood):

It asks for the 'exact' area. This means you must leave 'pi' as a symbol (or "pi") because any other reperesentation of it is just an approximation.

OpenStudy (jamesreed30):

I got 32.15 that is correct?

Directrix (directrix):

No.

Directrix (directrix):

A = pi * 3/2 * 3/2 = ? Do not substitute an approximation for pi. You are instructed to give the exact answer. So, multiply 3/2 times 3/2 and place a pi symbol next to the results of that calculation.

OpenStudy (jamesreed30):

10.24 PI?

OpenStudy (mhchen):

Just do (3*3/2*2)*pi Which is 9/4 pi

Directrix (directrix):

You may need to enter the answer at 2.25 pi. @Jamesreed30

OpenStudy (mathmale):

Jamesreed30: In the future, please share your work (including all of the steps you went through to obtain your answer). This would make possible better feedback to you from other users.

OpenStudy (jamesreed30):

Alright @mathmale

OpenStudy (mathmale):

:)

OpenStudy (mathmale):

"Find The exact area of a circle having the given circumference three pi " 1) Given that the circumference is 3 pi, work backwards to determine the radius, r. 2) Using this radius, r, find the area of the circle.

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