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Area of the circle is equal to the area of a rectangle having a perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?
  • a)
    14 cm
  • b)
    28 cm
  • c)
    22 cm
  • d)
    24 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Area of the circle is equal to the area of a rectangle having a perim...
Let breadth = x, then length
= (x + 6)
∴ 2(x + x + 6) = 100
⟹ 2x + 6 = 50
⟹ x = 22 cm
∴ breadth = x 22 cm & length
= 22 + 6 = 28 cm
∴ Area of circle = Area of rectangle
⟹ π r2 = 22 x 28
⟹ 7 x 2 = 14 cm
∴ Diameter = 2r = 28 cm
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Area of the circle is equal to the area of a rectangle having a perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?a)14 cmb)28 cmc)22 cmd)24 cmCorrect answer is option 'B'. Can you explain this answer?
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