The parametrization of the circle with center (1, 3, 5) and radius 3 in a plane parallel to the xy-plane will be (x-1)²+(y-3)²=3².
It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Given data;
Center (1, 3, 5)
Radius,r = 3
Plane parallel to the xy-plane,z =0
Hence, the parametrization of the circle with center (1, 3, 5) and radius 3 in a plane parallel to the xy-plane will be (x-1)²+(y-3)²=3².
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