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

Question

Clarence Mayer

Mathematics

10 March, 22:27

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

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Bentley Bruce · 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.