Question

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?

Answer 1

I just took the test the answer is 12m

Answer 2

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