standard form of the equation of the circle with radius r and center (h, k)

Question

r = 3; (h, k) = (0, 0) Write the standard form of the equation of the circle with radius r and center (h, k)

Answer 1

The equation is (x-h)² + (y-k)² = r²

 

So, if the center is (0,0) and the radius is 3, the equation is:

 

   (x-0)² + (y-0)² = 3², which simplifies to x² + y² = 9.