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 three centimeters to four 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

We determine first the real dimension of the circular fountain by using the scale factor given. 
                             (18 cm) x (4 ft / 3 cm) = 24 ft
Then, calculate for the area of the base of the circular fountain by the equation,
                                A = πD²/4
where A is are and D is diameter. Substituting,
                               A = π(24 ft)²/4 = 144π ft² ≈ 452.4 ft²

Thus, the area of the base of the circular fountain is approximately 452.4 ft².