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.

Area of the duck pond is 28.26 ft² .

Step-by-step explanation :

Formula

As given

A fountain, 3 ft in diameter, sits in the center os a circular duck pond.

The pond measures 3 ft from the fountain to its edge.

i.e the radius of the duck pond is 3 ft .

Putting all the values in the formula

                                = 28.26 ft²

Therefore the area of the duck pond is 28.26 ft² .

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

the one on the bottom left

step-by-step explanation:

all of the other ones have a specific pattern

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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