Question

Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Radius 7 and center (2, −4)

Answer 1

Let's start by writing the equation of a circle.

(x - h)² + (y - k)² = r²

The center of the circle is (h, k), and the radius, r, is 4 so

we can simply plug these values into the formula.

So we have [(x) - (2)]² + [(y) - (-4)]² = (7)².

Notice that I changed the parenthses that were in the original formula

to brackets so that we wouldn't have too many sets of parenthses

when plugging our values into the formula.

Finally, we simplify inside the brackets.

So we have (x - 2)² + (y + 4)² = 49.

Now, I changed the brackets back to parenthses in the final answer.