jasonkdurham
jasonkdurham jasonkdurham
  • 21-06-2021
  • Mathematics
contestada

What is the radius for the circle given by the equation x^2+(y-1)^2=12?

Round your answer to the nearest thousandth.

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sqdancefan
sqdancefan sqdancefan
  • 24-06-2021

9514 1404 393

Answer:

  3.464

Step-by-step explanation:

Comparing the given equation to the standard form equation of a circle:

  (x -h)^2 +(y -k)^2 = r^2

we find the center to be (h, k) = (0, 1) and the radius to be √12 = 2√3.

The problem statement tells us to round the radius to the nearest thousandth, so it will be ...

  2√3 ≈ 3.4641016 ≈ 3.464 . . . radius of the circle

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