Final answer:
The equation of the circle with center (1/3, -1/2) and radius 5 is (x -1/3)^2 + (y + 1/2)^2 = 25.
Step-by-step explanation:
The standard form of the equation of a circle with a center (h, k) and a radius r is given by (x - h)² + (y - k)² = r². For a circle with center (1/3, -1/2), and a radius of 5, we substitute the center coordinates and the radius into the standard form.
Thus, the equation of the circle is (x - 1/3)² + (y + 1/2)² = 5². After squaring the radius, the equation becomes (x - 1/3)² + (y + 1/2)² = 25, which is the required equation of the circle.