Quiz 3 - 14 views

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  #1 Jyoti Pakianathan on 03 Apr 13

   

  A rectangular pizza, 40 cm by 60 cm, is cut into 24 square pieces. Two round pizzas, each cut into 12 slices, also give 24 pieces. So that the pizzas are the same size, what must be the diameter of the round pizzas?

   

  <div class="cArrow"> </div><div class="cContentInner">A rectangular pizza, 40 cm by 60 cm, is cut into 24 square pieces. Two round pizzas, each cut into 12 slices, also give 24 pieces. So that the pizzas are the same size, what must be the diameter of the round pizzas?</div>

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• 
  #3 anonymous on 06 Apr 13

   

  Area of the rectangular pizza = 40 x 60 = 2400
  Area of the round pizza = 2400
  
  2400 = pi x r²
  = 2400 = 3.14 x r²
  = 2400 / 3.14 = r²
  = 764.3 = r²
  r = √764.3
  ∴ r = approximately 27.64cm
  d = approximately 55.28cm

   

  <div class="cArrow"> </div><div class="cContentInner">Area of the rectangular pizza = 40 x 60 = 2400 <br /> Area of the round pizza = 2400 <br /> <br /> 2400 = pi x r² <br /> = 2400 = 3.14 x r² <br /> = 2400 / 3.14 = r² <br /> = 764.3 = r² <br /> r = √764.3 <br /> ∴ r = approximately 27.64cm <br /> d = approximately 55.28cm</div>

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• 
  #6 Haley Park on 09 Apr 13

   

  Area of rectangular pizza = 60 x 40
  = 2400
  
  Area of 2 round pizzas = 2400
  
  Area of a Circle = r x r x 3.14
  
  2 (3.14 x r x r) =2400
  3.14 x r x r =1200
  r x r = 1200/π
  r = √381.972
  r = 19.54
  
  Diameter = 2(19.54)
  = 39.08

   

  <div class="cArrow"> </div><div class="cContentInner">Area of rectangular pizza = 60 x 40 <br /> = 2400 <br /> <br /> Area of 2 round pizzas = 2400 <br /> <br /> Area of a Circle = r x r x 3.14 <br /> <br /> 2 (3.14 x r x r) =2400 <br /> 3.14 x r x r =1200 <br /> r x r = 1200/π <br /> r = √381.972 <br /> r = 19.54 <br /> <br /> Diameter = 2(19.54) <br /> = 39.08</div>

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