5. Sam has a circular chicken pen. The fence surrounding the pen is 48 feet long. How many square feet does the chicken pen cover? Round your answer to the nearest square foot.

Answer 1

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, the circumference is 48 feet. So, 48 = 2πr.

Simplifying the equation, we divide both sides by 2π: r = 48 / 2π = 7.64 feet.

The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius.

Plugging in the value of r, the area is A = π(7.64)^2 = 183.21 square feet.

Therefore, the chicken pen covers approximately 183 square feet.