Question

Write the standard equation of the circle with center (2, 3) and a diameter of 12.

(x - 2)2 + (y - 3)2 = 36

(x + 2)2 + (y + 3)2 = 12

(x - 2)2 + (y - 3)2 = 6

(x - 3)2 + (y - 2)2 = 36

Answer 1

equation of a circle: (x - x₁)² + (y - y₁)² = r²

r = 6; x₁ = 2; y₁ = 3

2(x - 2)² + 2(y - 3)² = 36