Carlos plots a circular planter's wall on a computer. he determines that the circle that defines the part of the planter wall that gets watered by the sprinkler is (x−10)2+(y+12)2=36. what is the diameter, in meters, of the circular area that gets watered by the sprinkler?

1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²=36.
 
 2. The standard form for the equation of a circle is:
 
 (x-h)²+(y-k)²=r²
 
 (h,k) is the center point.
 r is the radius.
 
 3. Keeping this on mind, you can find the value of the radius, as below:
 
 r²=36
 r=√36
 r=6 m
 
 4. Then, the diameter of the circle is:
 
 D=2r
 D=2(6m)
 D=12 m
 
 What is the diameter, in meters, of the circular area that gets watered by the sprinkler?  
 
 The answer is: 12 m