SOLUTION: A rectangle is inscribed in a circle of radius R/3. Express the perimeter of the rectangle as a function of its width. Answer will have constant R in it and make sure to use functi

Question 1177809: A rectangle is inscribed in a circle of radius R/3. Express the perimeter of the rectangle as a function of its width. Answer will have constant R in it and make sure to use function notation.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rectangle is inscribed in a circle of radius R/3.
Express the perimeter of the rectangle as a function of its width.
Answer will have constant R in it and make sure to use function notation.
:
The diagonal of the rectangle = the diameter of the circle, therefore:
is the diagonal
:
Let L = the length of the rectangle
and
Let w = the width
Pythag
L^2 + w^2 =
L^2 = - w^2
L^2 = - w^2
L =
:
P = 2L + 2w
Replace L
P(w) = + 2w, is the perimeter in terms of w
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