Question

Which equation represents a circle at (-3,-5) and radius of 6 units

Answer 1

Answer:

(x+3)^2 (y+5)^2=36

Step-by-step explanation:

Hope this helped

Answer 2

Answer:

The equation of the circle is (x + 3)² + (y + 5)² = 36

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- The center-radius form of the circle equation is in the format  

  (x – h)² + (y – k)² = r², where the center is the point (h, k) and  

  the radius is r.  

- This form of the equation is helpful, because you can easily find  

  the center and the radius.

* Now lets solve the problem

∵ The center of the circle is (-3 , -5)

∵ The center of the circle in the equation is (h , k)

∴ h = -3

∴ k = -5

∴ The equation of the circle is (x - -3)² + (y - -5)² = r²

∴ The equation is (x + 3)² + (y + 5)² = r²

* Now lets find the value of r²

∵ The length of the radius of the circle is 6 units

∴ r = 6

∴ r² = (6)² = 36

∴ The equation of the circle is (x + 3)² + (y + 5)² = 36