Write the standard form of the equation of the circle with the given center and radius. Center $$ (5,-2), r=4 $$

Question

UpStudy AI · Accepted Answer

The standard form of the equation of a circle with center $$(h, k)$$ and radius $$r$$ is:

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

Given the center $$(5, -2)$$ and radius $$r = 4$$, substitute these values into the formula:

$$
(x - 5)^2 + (y - (-2))^2 = 4^2
$$

Simplifying further:

$$
(x - 5)^2 + (y + 2)^2 = 16
$$

**Final Answer:**
$$
(x - 5)^2 + (y + 2)^2 = 16
$$
$$ (x - 5)^2 + (y + 2)^2 = 16 $$

Write the standard form of the equation of the circle with the given center and radius. Center \( (5,-2), r=4 \)