there is a rectangle.Its area is equal to the area of the circle drawn with its length as the diameter. the perimeter of the rectangle is m times the perimeter of the circle. what is the value of m?
A)1/2+2/pi
B)2pi
C)2/Pi
D)cant be determined

• 1/2+2/pi
  let a is length; b width. so a is the dia of circle.
  a*b=pi/4a^2
  b/a=pi/4
  nw 2(a+b)=pi*a
  so 2/pi+1/2
• 11 years agoHelpfull: Yes(35) No(4)
• l*b=pi*r^2
  since circle is drawn from the length of the rectangle so radius = l/2
  l*b=pi*l^2/4
  b=pi*l/4
  also,
  2(l+b)=m(2pi*r)
  l+b=pi*r*m
  l+pi*l=pi*l/2*m
  m=1/2+2/pi
• 11 years agoHelpfull: Yes(25) No(0)
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• 11 years agoHelpfull: Yes(5) No(4)
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• 11 years agoHelpfull: Yes(1) No(2)
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• 11 years agoHelpfull: Yes(0) No(1)
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• 11 years agoHelpfull: Yes(0) No(3)
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• 11 years agoHelpfull: Yes(0) No(2)
• I don't get it.
  Perimeter of Circle depends on radius i.e length of rectangle.
  Perimeter of Rectangle depends on length and width of rectangle.
  So, if we change width of Rectangle keeping it length constant, it should change perimeter of rectangle keeping perimeter of Circle still the same.
  So, m ie ratio of perimeter of rectangle to that of circle must depend on width.
  So, i would say ratio can't be determined.
• 11 years agoHelpfull: Yes(0) No(2)
• from question, diameter(d)=length(l)
  radius=l/2;
  l*b=pi*(l/2)2;
  b=pi+l/4;
  now, 2(l+b)=m*2*pi*l/2
  2(l+pi*l/4)=m*2*pi*l/2
  after solving, we get
  m=1/2 +2/pi
• 7 years agoHelpfull: Yes(0) No(0)