Wwoodviz
Answered

the diameter of circle is 12 units and it's center is at (-5,-3). what is the equation of the circle​

Sagot :

TheoDviz

Answer:

Hence, The equation of the circle is

(x + 5)² + (y + 3)² = 36

Step-by-step explanation:

The equation of circle with center (h,k) and the radius r is (x - h)² + (y - k)² = r²

Diameter,

  • d = r/2
  • d = 12/2
  • d = 6 units

Center,

  • (h,k) = (-5,-3)

Solving for Equation,

  • (x - h)² + (y - k)² = r²
  • (x + 5)² + (y + 3)² = (6)²
  • (x + 5)² + (y + 3)² = 36