Question

A circle is represented by the equation below: (x − 5)2 + (y + 7)2 = 49 Which statement is true? The circle is centered at (−5, 7) and has a radius of 7. The circle is centered at (5, −7) and has a diameter of 7. The circle is centered at (5, −7) and has a radius of 7. The circle is centered at (−5, 7) and has a diameter of 7.

Answer 1

If we compare this with the standard equation

y = (x - a)^2 + (y-b)^2 = r2  we see that:-

centre is (5,-7) and radius = sqrt49  = 7

The third choice is the correct one.