Question

A contractor is building the base of a circular fountain. On the blueprint, the base of the Fountain has a diameter of 18 centimeters.The blueprint has a scale of 3 centimeters to 4 feet. What will be the actual area of the base of the fountain, in square feet, after it is built? Round your answer to the nearest tenth of a square foot.

Answer 1

3cm/4ft=18cm/x

3x=4(18)

3x=72

x=24ft
the diameter of the circle is 24ft so the radius is 12ft
find the area of the circle with the radius
A=452.4ft squared

Answer 2

The actual area is 454.1 ft.

You can use a ratio to find the actual diameter:
18cm/3cm = x/4ft.
x = 24 ft.

Then find the area using A=pi*r^2
A=pi*144
A=452.4 ft.