A contractor is building the base of a circular fourtain. On the blueprint, the base the fountain has a diametro of 18 centimeter. The blueprint has a scale of three centimeter 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 neares tenth of a square foot.

Question

Peyton Bruce

Mathematics

1 March, 05:05

A contractor is building the base of a circular fourtain. On the blueprint, the base the fountain has a diametro of 18 centimeter. The blueprint has a scale of three centimeter 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 neares tenth of a square foot.

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Answers (1)

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Lorelai · Answer 1

452.4 ft²

Step-by-step explanation:

The radius on the blueprint is (18 cm) / 2 = 9 cm, so the actual radius will be ...

radius / (9 cm) = (4 ft) / (3 cm)

radius = (9 cm) (4 ft) / (3 cm) = 12 ft

Then the area of the fountain is ...

A = πr² = π (12 ft) ² = 144π ft²

The area is about 452.4 ft².