Radius of the bigger circle is 1.which area will be greater?

• Radius of the bigger circle is 1. Which area will be greater?
  
  
  If the radius of the bigger circle is 1, then diameter = 2 units. Which in turn equals to diagonal of square.
  Let the side of the square be x. Then x2 + x2 = 22 ⇒ 2x2 = 4 ⇒ x = 2√
  2
  
  Now diameter of the inner circle = side of the square. So radius of the inner circle = 2√2=12√
  22=12
  
  Areas marked by 1, 2, 3, 4 = (Area of the circle - area of the square)/4 = π(1)2−(2√)24
  π(1)2−(2)24
  = π−24
  π−24
  = 0.285
  Areas marked by 5, 6, 7, 8 = (Area of the square - area of the inner circle)/4 = (2√)2−π(12√)24
  (2)2−π(12)24
  = 2−π24
  2−π24
  = 0.1075
  So Area marked by 4 is bigger.
  
• 8 years agoHelpfull: Yes(7) No(1)
• diameter area wil be the bigger.
• 9 years agoHelpfull: Yes(2) No(4)
• not determine
• 9 years agoHelpfull: Yes(1) No(4)
• Please mention the areas.
  
• 8 years agoHelpfull: Yes(1) No(0)
• area of sphere will be greater which is on the top of pen tip.
  
• 8 years agoHelpfull: Yes(0) No(0)
• cannot be determined..
• 8 years agoHelpfull: Yes(0) No(0)
• incomplete
  
• 8 years agoHelpfull: Yes(0) No(2)
• If the radius of the bigger circle is 1, then diameter = 2 units. Which in turn equals to diagonal of square.
  Let the side of the square be x. Then x2 + x2 = 22 ⇒ 2x2 = 4 ⇒ x =
  √
  2
  2
  Now diameter of the inner circle = side of the square. So radius of the inner circle =
  √
  2
  2
  =
  1
  √
  2
  22=12
  Areas marked by 1, 2, 3, 4 = (Area of the circle - area of the square)/4 =
  π
  (
  1
  )
  2
  −
  (
  √
  2
  )
  2
  4
  π(1)2−(2)24 =
  π
  −
  2
  4
  π−24 = 0.285
  Areas marked by 5, 6, 7, 8 = (Area of the square - area of the inner circle)/4 =
  (
  √
  2
  )
  2
  −
  π
  (
  1
  √
  2
  )
  2
  4
  (2)2−π(12)24 =
  2
  −
  π
  2
  4
  2−π24 = 0.1075
  So Area marked by 4 is bigger.
• 6 years agoHelpfull: Yes(0) No(0)