A farmer is putting up a fence for her animals. She originally had the fence enclosing a square that was 18 ft by 18 ft. Suppose she uses the same amount of fencing to enclose a circular area. What is the area of the circle?

First look: More than 324 square feet :) Now, l = 2 π ∗ r which means that r = 2 π l ​ . But l is the original perimeter, 4 times the side of the square, that is, 72 ft. So, r = 2 π 72 ​ = π 36 ​ Now, the area of that circle is A = π ∗ r 2 = π ∗ π 2 1296 ​ = π 1296 ​ , which is about 412.5 square feet. It's true, that's more (that's the most you can actually get with that amount of fence :) )

Answered by Anonymous | 2024-06-10

The area of the circular fence that the farmer creates using the same length of fencing as the square fence is approximately 412.68 square feet. This is calculated by first finding the perimeter of the original square and then determining the area using the radius derived from that perimeter. The steps involve using the circumference formula for circles and the area formula for circles.
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Answered by Anonymous | 2024-12-17