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LINTA AJUMON Grade:
        

S.T a rectangle of maximum perimeter which can be inscribed in a circle of radius r is a square of side root2*r? 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Linta


let the side of rectangle is a and b and its center coinside with the center of circle.


a/2 = r cosΘ  then  b/2 =r sinΘ




now perimeter P =2a+2b


                        =4r(cosΘ + sinΘ)


                         = 4r√2sin(Θ +45)


so for maximum P   , sin(Θ +45) =1


              so Θ =45


  so a=b = r√2


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Badiuddin

7 years ago
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