SOLUTION: What is the expression for the area of the circle which has a circumference of C? Express your answers as a rational expression in terms of C and pi. --- In China, spheres are u

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Question 1044022: What is the expression for the area of the circle which has a circumference of C? Express your answers as a rational expression in terms of C and pi.
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In China, spheres are used to exercise a person's hands. if the diameter of a sphere is 2 inches how many square inches are in its surface area express your answer in terms of pi

Found 3 solutions by Alan3354, reviewermath, addingup:
Answer by Alan3354(69443) About Me  (Show Source):
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What is the expression for the area of the circle which has a circumference of C? Express your answers as a rational expression in terms of C and pi.
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C = 2pi*r
--> r = C/(2pi)
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Area = pi*r^2
Area+=+%28pi%2A%28C%2F%282pi%29%29%29%5E2
Area+=+%28pi%2AC%5E2%2F%284pi%5E2%29%29%29
Area+=+%28C%5E2%2F%284pi%29%29%29

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q: What is the expression for the area of the circle which has a circumference of C? Express your answers as a rational expression in terms of C and pi.
Solution:
C+=+2%2Api%2Ar
So r+=+C%2F%282%2Api%29
The area of the circle is equal to
A+=+pi%2Ar%5E2
A+=+pi%2A%28C%2F%282%2Api%29%29%5E2+
highlight%28A+=+C%5E2%2F%284%2Api%29%29+
Q: in China, spheres are used to exercise a person's hands. if the diameter of a sphere is 2 inches how many square inches are in its surface area express your answer in terms of pi.
sOLUTION: If diameter = 2 inches, then radius= (2 inches)/2 = 1 inch
The area of the circle is equal to
A+=+pi%2Ar%5E2
A+=+pi%2A%281%29%5E2
A = highlight%28+pi+%29sq inch

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
circumference of the circle:
pi*2r = C
Area:
pi*r^2
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4*pi*r^2 area
4*pi*2^2 = area
4*4*pi = area
16pi = area