Identify the equation of the circle that has its center at (7, -24) and passes through the origin

To write the equation of a circle we need to know the center and the radius. We are given the center explicitly, and we can deduce the radius: if the circumference passes through the origin, it means that the origin belong to the circumference.

But all points belonging to the circumference have the same distance from the center: the radius! So, the radius of this circumference is the distance between (7, -24) and the origin, which we can compute with the usual formula

which in this case becomes

Now that we know the center and the radius of the circle, we can write its equation. In general, given the center C = (h,k) and the radius r, the equation is

which in this case becomes

what is the question here

step-by-step explanation:

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap