The center of a circle is at (0, 0), and the radius of the circle is 3(sqrt)2 . Which equation represents the circle?

Question

The center of a circle is at (0, 0), and the radius of the circle is 3(sqrt)2
. Which equation represents the circle?
A) x2 + y2 = 6
B) x2 + y2 = 18
C) x2 + y2 = 12
D) x2 + y2 = 36

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Amara 2 weeks 2022-01-06T07:35:01+00:00 1 Answer 0 views 0

Answers ( )

    0
    2022-01-06T07:36:27+00:00

    Answer:

    B

    Step-by-step explanation:

    The equation of a circle is denoted by: (x-h)^2+(y-k)^2=r^2, where (h, k) is the center and r is the radius.

    Here, we see that the center is (0, 0), so h = 0 and k = 0. Also, the radius is 3\sqrt{2}, so r = 3\sqrt{2} and r^2=(3\sqrt{2})^2=9*2=18.

    Then we can write our equation:

    (x-0)^2+(y-0)^2=18

    x^2+y^2=18

    The answer is B.

    Hope this helps!

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