2010-11-26, 03:40 PM
If a and b are sides of the rectangle and r is the radius of the circle, then the point from the corner of the rectangle to the center of the rectangle is equal to r.
Or:
(sqrt ((a/2)^2+b^2)) = r
Using that relation between the rectangle's dimensions and the circle's radius, you could write a function for the circumference of the circle given rectangle side lengths.
and 200/a=b, so...
2*pi*(sqrt( (a/2)^2 + (200/a)^2 ) = circumference. Differentiate that with respect to a to find the minimum value. Not entire sure what the limits would be though. That could get messy.
Or:
(sqrt ((a/2)^2+b^2)) = r
Using that relation between the rectangle's dimensions and the circle's radius, you could write a function for the circumference of the circle given rectangle side lengths.
and 200/a=b, so...
2*pi*(sqrt( (a/2)^2 + (200/a)^2 ) = circumference. Differentiate that with respect to a to find the minimum value. Not entire sure what the limits would be though. That could get messy.