A concrete walk 3 feet wide is placed around the outside of a circular pond with...

A concrete walk 3 feet wide is placed around the outside of a circular pond with diameter 15 feet.

What is the total cost of the walk if the cost per square foot is $1.31

Expert Solution

We have to figure out the area of the feet wide walk. Lets look at the picture. The walk is the green area.

The diameter of the pond is given to be feet and hence the radius is feet. The walk is feet wide and hence the outside radius is, . Then the area covered by the walk is the difference between the areas of the larger circle and the inner circle. Now we know that the area of a circle of radius is given by . Hence the area of the walk is square feet.

Now cost for each square foot is given to be . Hence the total cost is, dollars. This is approximately equals, .

Colby Messinger answered 2 years ago

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