Area of pen is 2462 square feet
Solution:
Given that,
Ellie needs new grass in the circular pen for her chickens
There is 175.84 feet of fencing around the circular pen
Therefore,
Circumference = 175.84 feet
The circumference of circle is given as:
[tex]C = 2 \pi r[/tex]
Where, "r" is the radius of circle
[tex]175.84 = 2 \times 3.14 \times r\\\\175.84 = 6.28 \times r\\\\r = \frac{175.84}{6.28}\\\\r = 28[/tex]
The area of circle is given as:
[tex]Area = \pi r^2\\\\Area = 3.14 \times 28^2\\\\Area = 3.14 \times 784\\\\Area = 2461.76 \approx 2462[/tex]
Thus area of pen is 2462 square feet
