Final answer:
The equation of the circle in the xy-plane with center (3/4, 1/3) and a radius of 3/5 units is (x - 3/4)² + (y - 1/3)² = 9/25.
Step-by-step explanation:
The student has asked for the equation of a circle with a center at (3/4, 1/3) and a radius of 3/5 units in the xy-plane. The equation for this circle can be found using the standard form of the equation for a circle, which is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. Therefore, the equation of the circle in question is:
(x - 3/4)² + (y - 1/3)² = (3/5)²
Expanding the radius squared, the equation simplifies to:
(x - 3/4)² + (y - 1/3)² = 9/25
This is the precise equation for the circle described in the question.