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Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 784 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?
  • a)
    154
  • b)
    452
  • c)
    616
  • d)
    512
  • e)
    None of the Above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Circumference of a circle A is 22/7 times perimeter of a square. Area ...
Area = 784 cm²
a = 28 cm
Perimeter of Square = 4 * 28
Circumference of a Circle = 4 * 28 * 22/7
2πr = 4 * 4 * 22
r = 16 * 22 * 7 / 2 * 22 = 56 cm Radius of Circle B = 56/4 = 14 cm Area of Circle = πr² = 22/7 * 14 * 14 = 616 cm²
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Most Upvoted Answer
Circumference of a circle A is 22/7 times perimeter of a square. Area ...
To find the circumference of circle A, we need to know the perimeter of the square.

Given that the area of the square is 784 cm², we can find the length of one side of the square by taking the square root of the area.

√784 = 28 cm

Since the perimeter of a square is four times the length of one side, the perimeter of the square is:

4 * 28 = 112 cm

The circumference of circle A is then:

(22/7) * 112 = 352 cm
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Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 784 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?a)154b)452c)616d)512e)None of the AboveCorrect answer is option 'C'. Can you explain this answer?
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