Find the equation of the circle in standard form for the given center (h,k) and radius r: (h,k) = (5,4), r=2

Question

Find the equation of the circle in standard form for the given center (h,k) and radius r: (h,k) = (5,4), r=2

Answer 1

For a circle of radius r centered at (h.k), the equation in standard form is

 

(x - h)² + (y - k)² = r²

 

h = 5

k = 4

r = 2

 

(x - 5)² + (y - 4)² = (2)² = 4