Solve.
-A circular pen has circumference of 78.1 feet. Approximate $\pi$ by 3.14 and estimate how many sheep could be safely kept in the pen if each sheep needs at least 55 square feet.
A) 17 sheep
B) 11 sheep
C) 8 sheep
D) 35 sheep

Question

Solve.
-A circular pen has circumference of  78.1  feet. Approximate $\pi$ by  3.14  and estimate how many sheep could be safely kept in the pen if each sheep needs at least 55 square feet.
A) 17 sheep
B) 11 sheep
C) 8 sheep
D) 35 sheep

Quizplus · Accepted Answer

The area of the circular pen can be calculated using the formula for the circumference $C = 2\pi r$, where $C = 78.1$ feet and $\pi \approx 3.14$. Solving for $r$, we get $r = \frac{C}{2\pi} = \frac{78.1}{2 \times 3.14} \approx 12.43$ feet. The area $A$ of the pen is given by $A = \pi r^2 = 3.14 \times (12.43)^2 \approx 485$ square feet. Given that each sheep needs at least 55 square feet, the number of sheep that can be safely kept is $\frac{485}{55} \approx 8.82$. Since we can't have a fraction of a sheep, the maximum number of sheep that can be safely kept is 8.

Solve -A Circular Pen Has Circumference of 78 π\piπ By 314 and Estimate How Many Sheep Could Be Safely

Solve
-A Circular Pen Has Circumference of 78 $\pi$ By 314 and Estimate How Many Sheep Could Be Safely