Question

The equation of a circle is (x-2)²+(y-6)²=25. What is the radius of the circle?

Answer 1

Consider that the general equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

where (h,k) is the center of the circle and r is the radius.

Then, by comparing the given equation with the general equation, you can notice that:

25 = r^2 => r = 5

Hence, the radius of the circle is 5