lkrepp
lkrepp lkrepp
  • 24-11-2019
  • Mathematics
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Express the ratio of the area of the circle to the area of the square

Express the ratio of the area of the circle to the area of the square class=

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altavistard
altavistard altavistard
  • 24-11-2019

Answer:

π/4

Step-by-step explanation:

The area of the circle is A = π(2x)^2 = 4πx².

The length of one side of the square is 2(2x), or 4x, so the area of the square is A = 16x².

The ratio of the area of the circle to the area of the square is

              4πx²

ratio = -------------   and this reduces to ratio = π/4.

              16x²

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