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