Question

Pleas Help!!???Examine the diagram to answer the question.

Answer 1

The equation for any circle centered at the origin with a radius r is the following:

$x^2+y^2=r^2$

By looking at the picture, we can see that the radius is 5. We can also use the distance formula to find the distance between (0,0) and (-3,-4), and we will also get 5.

Thus, r=5.

This makes the equation:

$x^2+y^2=5^2$

$x^2+y^2=25$

That should be your answer, let me know if this is confusing in any way.

Happy Studying~