Question

Ellie needs new grass in the circular pen for her chickens. There is 175.84 feet of fencing around the circular pen. What is the area of the pen? Approximate by using 3.14 for π . Estimate the area to the nearest whole foot.

Answer 1

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:

$C = 2 \pi r$

Where, "r" is the radius of circle

$175.84 = 2 \times 3.14 \times r\\\\175.84 = 6.28 \times r\\\\r = \frac{175.84}{6.28}\\\\r = 28$

The area of circle is given as:

$Area = \pi r^2\\\\Area = 3.14 \times 28^2\\\\Area = 3.14 \times 784\\\\Area = 2461.76 \approx 2462$

Thus area of pen is 2462 square feet