The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

<h3>What is the equation of the circle of radius r units, centered at (x,y) ?</h3>

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:

$(x-h)^2 + (y-k)^2 = r^2$

For this case, the equation of the circle that models tha circular area considered is:

$(x-9)^2 + (y+11)^2=16$

Writing this in standard form and comparing it with the standard equation, we get:

$(x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2$ (didn't took (-4)² = 16 since radius cannot be negative).

Thus, we get center's coordinate as (9,-11) and radius of 4

The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.

Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

Learn more about equation of a circle here:

brainly.com/question/10165274

3 0

2 years ago

Is the problem I showed congruent

dimulka [17.4K]

Answer:

it is very congruent of you k

7 0

3 years ago

One of the students said that perimeter of above rectangle is 100 squared millimeters. It that answer correct?

PSYCHO15rus [73]

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter of the rectangle will be measured in millimeters (or some other distance measure). Square millimeters is an incorrect unit for a perimeter.

The <em>perimeter</em> cannot be 100 mm².

3 0

3 years ago