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nerro_101
Junior Member

4 Posts

 Posted - 10/11/2007 :  08:37:23 Can anyone help me? I've been stuck with this problem for 5 days now. A piece of wire 50 cm long is cut into two pieces AP and PB as shown below. Piece Ap is bent to form a square, while piece PB is bent into a circle. How do I express the total area enclosed by the two figures as a function of x?(remake of the image below)-----------x-------------------50-x .___________________.________________. point a------------point p----------point bThank you. Edited by - nerro_101 on 10/11/2007 11:49:43

Subhotosh Khan

USA
9117 Posts

 Posted - 10/11/2007 :  09:28:29 quote:Originally posted by nerro_101Can anyone help me? I've been stuck with this problem for 5 days now. A piece of wire 50 cm long is cut into two pieces AP and PB as shown below. Piece Ap is bent to form a square, while piece PB is bent into a circle. How do I express the total area enclosed by the two figures as a function of x?(remake of the image below)-----------x-------------------50-x .___________________.________________. point a------------point p----------point bThank you.Perimeter of a square with side 'L' = 4*L = xSo each side of square = x/4Area of square = L2 = x2/16Do similar computation for circle and then add the areas up.
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