Question

12. Give the center, radius, and equation of the circle in the graph.

Answer 1

Radius = 2, center is (2, -3).

Equation is (x - 2)^2 + (y + 3)^2 = 4.

Explanation:

The centre is at (2, -3) and the radius is 2.

The standard form for a circle is (x - j)^2 + (h - k)^2 = r^2

- where (j, k) is the centre and r = the radius.

So the Equation is:

(x - 2)^2 + (y + 3)^2 = 2^2

(x - 2)^2 + (y + 3)^2 = 4.