What is the radius for the circle given by the equation x^2+(y-1)^2=12? Round your answer to the nearest thousandth.

Question

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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Thu Hương 5 months 2021-08-29T12:58:52+00:00 1 Answers 35 views 0

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    2021-08-29T12:59:56+00:00

    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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