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  1. The area of the circle with radius y is w. The difference between the areas of the bigger circle (with radius y) and that of the smaller circle (with radius x) is w’. So x/y is equal to
    1. 1 -
      w'
      w
    2. 1 +
      w'
      w
    3. 1 +
      w
      w'
    4. 1 +
      w
      w'
Correct Option: A

w = πy² = Area of larger circle
w' = πy² – πx²
⇒ w' = w – πx²
⇒ πx² =

πx²
=
w – w'
πy²w

= 1 -
w'
w

= √1 -
w'
w



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