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

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