Question

DOG A dog is leashed to the corner of a house. How much running area does the dog have? Explain how you found your answer.

Answer 1

The area will be
`(3\pi r^(2) )/(4)` where r is the length of the leash.

Explanation:

The area of a circle is pi times the radius squared. One forth of that area is not available for the dog to run: its the corner of the house. so what's left is 3/4 of the area of the circle. (3/4)πr²

Since the length of the leash is not given in the question, no specific Area can be answered. Once that value is substituted for r, the actual area can be calculated.