A problem is given with two equations for a circle and I am asked to determine which has the larger radius.
I know how to solve the problem by calculation and answered correctly. But I want to know is there a way to distinguish which circle has the larger radius at first glance without solving extensively?
Here are the two equations of a circle:
x^2 - 16x + y^2 - 8y - 1 = 0
x^2 - 4x + y^2 + 4y - 1 = 0