Question

Please answer now it's needed! A park has two circular fountains. The larger fountain has a diameter of 10 feet and a circumference of approximately 31.4. The smaller fountain has a radius of 2.5 feet and a circumference of about 1.7 feet. Which ratio correctly represents π ?

Answer 1

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Answer 2

3.14

Explanation:

The circumference of the larger fountain is given as 31.4 feet, which means the radius is (31.4 / 2π) feet. The diameter is 10 feet, so the radius is (10 / 2) feet = 5 feet. We can use these two values of the radius to find the ratio of the circumference to the diameter, which is equal to π.

So, π = 31.4 / (2 * 5) = 31.4 / 10 = 3.14.

The circumference of the smaller fountain is given as 1.7 feet, which means the radius is (1.7 / 2π) feet. We know the radius is 2.5 feet, so we can use these two values of the radius to find the ratio of the circumference to the diameter, which is equal to π.

So, π = 1.7 / (2 * 2.5) = 1.7 / 5 = 0.34.

Since π has to be the same value in both cases, we can see that the correct ratio of π is 3.14.