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  • 04-09-2020
  • Mathematics
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The circles are identical. What is the circumference of each circle? Circle 1: radius of 2x; Circle 2: diameter of 2x+3. Choices are: A. 3/2 B. 3 C. 1.5π D. 9π/4 E. 3π F. 6π

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Аноним Аноним
  • 04-09-2020

Answer:

F. 6π is the correct answer

As the diameter of the 2nd circle is 2x+3, its radius will be (2x+3)/2 which is equal to x + 1.5  

But as it is identical to the 1st circle their radii will be equal.

Therefore, 2x = x + 1.5

Therefore, 2x - x = 1.5

Thus we get that x = 1.5

Therefore, r (radius) = 2x = 2*1.5 = 3

Now we can find the circumfrence by the equation circumference = 2πr

Therefore, circumference = 2*π*3 = 6π

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