If the equation of a circle is (x + 4)2 + (y - 6)2 = 25,what is its radius

Equation of a circle is:

(x-a)^2+(y-b)^2=r^2

In this case:

r^2=25

r=sqrt(25)

r=5

To find the radius of a circle given its equation, we need to convert the equation to the standard form: (x - h)^2 + (y - k)^2 = r^2.

Given equation: (x + 4)^2 + (y - 6)^2 = 25.

Comparing it with the standard form, we can see that the center of the circle is at the point (-4, 6), and the square of the radius is 25.

To find the radius, we take the square root of the square of the radius:

√(r^2) = √25

Therefore, the radius of the circle is 5.