Afountain, 3 ft in diameter, sits in the center os a circular duck pond. the pond measures 3 ft from the fountain to its edge. what is the area of the duck pond.

Step-by-step explanation:

We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

We know that the area of a circumference is:

where r is the radius of the circumference.

further

d = 2r

Where d is the diameter of the circumference.

Then the radius of the source is 1.5 ft.

The radius of the pond is 1.5 + 3 = 4.5 ft

Finally the area of the pond is equal to the area of the ring that is shown in the image

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)