SOLUTION: A plate made from a rectangular sheet of metal x metres by y metres has one corner "rounded" to a quadrant of a circle with radius r.
Show that r= 2* sqrt xy-A/4-pi, where A is th
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Question 1178511: A plate made from a rectangular sheet of metal x metres by y metres has one corner "rounded" to a quadrant of a circle with radius r.
Show that r= 2* sqrt xy-A/4-pi, where A is the area of the "finished" plate, given that r>0.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
.
A= xr - r^2 +xy -xr +(pi/4) r^2
A = xy -r^2 +(pi/4)r^2
A = xy -r^2 (1-(pi/4))
A= xy -r^2 ( (4-pi)/4))
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