Write the standard form of the equation of the circle with the given center and radius. Center $$ (0,0), r=6 $$

Question

UpStudy AI · Accepted Answer

The standard form of a circle's equation is:

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

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

Given:
- Center $$(0, 0)$$, so $$h = 0$$ and $$k = 0$$
- Radius $$r = 6$$

Plugging these values into the standard form:

$$
(x - 0)^2 + (y - 0)^2 = 6^2
$$

Simplifying:

$$
x^2 + y^2 = 36
$$

**Answer:**

$$
x^2 + y^2 = 36
$$
The standard form of the circle's equation is $$ x^2 + y^2 = 36 $$.

Write the standard form of the equation of the circle with the given center and radius. Center \( (0,0), r=6 \)