Answer:
10 sheep
Step-by-step explanation:
First, we have to determine the area of the circular pen.
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
But,
Circumference of a circle = 2[tex]\pi[/tex]r
So that,
77.5 = 2 x 3.14 x r
77.5 = 6.28r
r = 12.34
Radius of the pen is 12.34 feet.
Thus,
Area of the pen = [tex]\pi[/tex][tex]r^{2}[/tex]
= 3.14 x [tex](12.34)^{2}[/tex]
= 478.15
Area of the pen = 478.15 square feet
Number of sheep that can be safely kept in the pen = [tex]\frac{478.15}{45}[/tex]
= 10.63
The number of sheep that can be safely kept in the pen is 10.
