Question

Jenni plots her house and yard on a computer. She determines that the circle that defines the part of the front yard that gets watered by the sprinkler is (x−9)^2+(y+11)^2=16.

What is the diameter, in meters, of the circular area that gets watered by the sprinkler?

4 m

8 m

16 m

32 m

Answer 1

center: (-10,-4); radius: 10

3ft (it's a circle with radius 3)

8m (diameter = 2 * radius)
So the answer is: 8 m

*HOPEI HELPED!*

Answer 2

B) 8 m

Explanation:

The standard form a circle : (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

Given: (x−9)^2+(y+11)^2=16.

Comparing the given equation with the standard form, we get

Center = (h, k) = (9, -11)

Radius = r^2 = 16

Now let's find r taking the square root.

r = 4

Diameter = 2 * radius

Diameter = 2*4 = 8 meters

Answer: B) 8 m

Hope this will helpful.

Thank you.