Question

a circular dog pen has a circumference of 78.5 feet. approximate by 3.14 and estimate how many hunting dogs could be safely kept in the pen if each dog needs at least 60 square feet of room

Answer 1

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.

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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

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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.