write the equation in standard form for the circle with center (2,7) and radius 7
The standard form of the equation for a circle with center (a,b) and radius r is:
(x - a)^2 + (y - b)^2 = r^2
In this case, the center is (2,7) and the radius is 7, so we substitute these values into the standard form equation:
(x - 2)^2 + (y - 7)^2 = 7^2
Simplifying, we get:
(x - 2)^2 + (y - 7)^2 = 49