Question

A circle is described by the equation (x−1/2)squared+(y−3/2)squared=4/9. What are the coordinates for the center of the circle and the length of the radius? (-1/2,-3/2), 2/3 units (-1/2,-3/2), 4/9 units (1/2,3/2), 4/9 units (1/2,3/2), 2/3 units

Answer 1

(x-1/2)² + (y-3/2)² = 4/9

For any circle in the standard form (x-h)² + (y-k)² = r², the center is at (h, k) and the radius is r.

In the case of our equation here. the center is at (1/2, 3/2) with a radius of 2/3.