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?
Accepted Solution
A:
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?