Question

Write the equation of the circle graphed below.

Answer 1

(x + 2)^2 + (y + 2)^2 = 0.5625

Explanation:

By looking at the graph, we can see the center of the circle is (-2, -2) and by counting the squares, the radius is 0.75.

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can substitute our values in to get:

(x + 2)^2 + (y + 2)^2 = 0.5625

Answer 2

(x + 2)² + (y + 2)² = 0.75²

Explanation:

Standard form

(x - h)² + (y - k)² = r²

the center is (h, k) = (-2, -2)

the radius is r = 0.75

(x + 2)² + (y + 2)² = 0.75²