Identify the equation of the circle that has its center at (16, 30) and passes through the origin

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

Equation of a circle:

The equation of a circle with center and radius r is given by:

Center at (16, 30)

This means that

Thus

Passes through the origin:

We use this to find the radius squared, as this means that is part of the circle. Thus

Thus, the equation of the circle is:

For another example to find the equation of a circle, you can look at

did you get the answer?