Robert was bored cutting the lawn at his grandpa’s farm, so he decided to get creative. He mowed a large circle in one of the open pastures. The area of the circle was 1,962.50 feet2. What was the diameter of the circle that he mowed? Use 3.14 for 𝜋.

Robert was bored cutting the lawn at his grandpa’s farm, so he decided to get creative. He mowed a large circle in one of the open pastures. The area of the circle was 1,962.50 feet2. What was the diameter of the circle that he mowed? Use 3.14 for 𝜋.

625 feet

35 feet

50 feet

25 feet

1 answer

The formula to find the area of a circle is A = πr^2, where A is the area and r is the radius. In this case, we are given the area of the circle (1,962.50 ft^2) and asked to find the diameter.

To find the radius, we can rearrange the formula and solve for r:

A = πr^2
1962.50 = πr^2
r^2 = 1962.50/π
r^2 ≈ 625
r ≈ √625
r ≈ 25

The diameter of a circle is twice the radius, so the diameter of the circle that Robert mowed is 2 * 25 = 50 feet.

Therefore, the correct answer is 50 feet.
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