Equation of the area

Question

The pool and an architectural blueprint is given by the equation (x-2)^2+ (y-3)^2= 100. What is the longest distance from the center of the edge of the pool

Answer 1

The given equation is simply a circle with the center at (h,k) = (2,3) and radius = 10.

So, the distance from the center of the pool to the edge is simply the radius, or 10.

Recall:

x^2 + y^2 = r^2 Equation of a circle, center at origin and radius = r

(x-h)^2 + (y-k)^2 = r^2 Equation of a circle, center at (h,k) and radius = r

(x-2)^2 + (y-3)^2 = 10^2 . Equation of a circle, center at (2,3) and radius = 10