Posted by Fred on Wednesday, May 2, 2012 at 9:00pm.
What size should be the frame be?
Suppose an artist has a circular picture with a diameter 6 inches which she wishes to frame by a uniform width frame with covers 1/2 inch width uniformity of the painting and has total area equal to that of the exposed painted surface when the frame is in place.

College Algebra/Geometry  bobpursley, Wednesday, May 2, 2012 at 9:24pm
Is there a question here?

College Algebra/Geometry  Fred, Wednesday, May 2, 2012 at 9:26pm
What size should the frame be?

College Algebra/Geometry  Steve, Thursday, May 3, 2012 at 12:04am
if the frame is width w, then it covers 1/2 inch of painting plus w outside the painting.
pi(3.5)^2 = pi((3+w)^2  (3^22.5^2))
25/4 = w^2 + 6w + 9  (925/4)
w^2 + 6w = 0
solve that for w, and you get w=0
so, the border is just 1/2 inch wide, and does not extend outside the painting.
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