From the given options A and option D are the possible equations will be;
x² + (y – 3)² = 36
or, x² + (y + 8)² = 36
What is Circle?
A circle is a round 2-dimensional shape. It is a closed shape with a distance from center to circumference termed as radius 'r' and distance from one point on the circumference to another point passing through center termed as diameter 'd'.
Here, General equation of circle
(x - a)² + (y - b)² = r²
where, (a, b) are the coordinates of center
and r is the radius of circle.
Now, given data; Diameter = 12 units
Radius = 6 units
center lies on y-axis so coordinates will be (0, b)
Equation of given circle
x² + (y - b)² = 6²
x² + (y - b) = 36
where, b may be any value on y-axis.
Thus, from the given options A and option D are the possible equations will be;
x² + (y – 3)² = 36
or, x² + (y + 8)² = 36
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