write the equation in standard form for the circle passing through (0, 11/2) centered at the origin.

Question

equations of circles

Answer 1

(x - h)² + (y - k)² = r²     Center: (h,k) = (0,0)

(0, 11/2) represents (x,y).

(0 - 0)² + (11/2 - 0)² = r²

(11/2)² = r²

121/4 = r²

 

x²  + y² = 121/4