Question

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? select two options. x2 (y â€"" 3)2 = 36 x2 (y â€"" 5)2 = 6 (x â€"" 4)² y² = 36 (x 6)² y² = 144 x2 (y 8)2 = 36

Answer 1

The equation which represents the circle is x²+(y-3)²=36. The correct option is A.

Given that the circle have diameter 12 units and a center that lies on the y-axis.

A circle is a closed curve drawn from a fixed point called the center, and all points on the curve are equidistant from the midpoint of the center.

The standard form for finding the equation of a circle is expressed in the form is

(x-a)²+(y-b)²=r²             ......(1)

Where (a,b) is the center and r is the radius.

Given that the diameter is 12.

So, the radius is 12/2=6

It is also given that center lies on the y-axis therefore the center will be (0,3).

Now, we will substitute these values in equation (1), we get

(x-0)²+(y-3)²=6²

x²+(y-3)²=36

Hence, the equation which represents the circle with diameter 12 units and center lies on the y-axis is x²+(y-3)²=36.

Learn more about the equation of circle from here brainly.com/question/24810873

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