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Suppose the area of a circle is 49π. What is its radius?

 Dec 27, 2014

Best Answer 

 #3
avatar
+8

Circumference of a circle = 2πr

So in order to find the circumference of this circle, we need to figure out what the radius is, which we can do by setting 49π equal to πr²

49π = πr²

Like terms cancel, leaving us with:
49 = r²

Solving for r, we get:
r = -7 or r = 7

Since it doesn't make sense to have a negative radius, we can ignore r= -7 as a potential answer, so now, we can go ahead and figure out the circumference, like so:
Circumference = 2π(7)

Final Answer:
Circumference = 14π

 Dec 28, 2014
 #1
avatar+10 
+8

We know K=πr2, so r=K/π=49π/π=7.

 Dec 27, 2014
 #2
avatar+11912 
+8

did you just answered your own question?

 

 Dec 27, 2014
 #3
avatar
+8
Best Answer

Circumference of a circle = 2πr

So in order to find the circumference of this circle, we need to figure out what the radius is, which we can do by setting 49π equal to πr²

49π = πr²

Like terms cancel, leaving us with:
49 = r²

Solving for r, we get:
r = -7 or r = 7

Since it doesn't make sense to have a negative radius, we can ignore r= -7 as a potential answer, so now, we can go ahead and figure out the circumference, like so:
Circumference = 2π(7)

Final Answer:
Circumference = 14π

Guest Dec 28, 2014

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