Answer:
8
Step-by-step explanation:
To solve this problem, we need to find the area of the pen, then divide that by the area required by each dog.
__
The relationship between circumference and radius is ...
C = 2πr
Solving for r gives ...
r = C/(2π)
The relationship between radius and area of a circle is ...
A = πr²
Substituting for r from above gives ...
A = π(C/(2π))² = C²/(4π)
Filling in the given numbers, we find the area of the pen to be ...
A = (78.5 ft)²/(4·3.14) = 490.625 ft²
__
Dividing the pen area by the area per dog gives the number of dogs the pen can hold:
(490.625 ft²)/(60 ft²/dog) ≈ 8.18 dogs
The pen can safely keep 8 dogs.
