SOLUTION: A dog tied to the corner of a house that is 10 m long and 7 m wide . his leash is 5 m long . determine ,to the nearest square meter the largest area over which the dog may roam.

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Question 288576: A dog tied to the corner of a house that is 10 m long and 7 m wide . his leash is 5 m long . determine ,to the nearest square meter the largest area over which the dog may roam.
a 16 b 20 c 59 d 79 e 350

Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
The dog's area will be a circle, with radius 5m, and the center of the circle is at the corner of the house.
The area of a circle with 5m radius is:
A=Pi%2Ar%5E2
A=Pi%2A5%5E2
A=Pi%2A25
But the dog can not go through the walls of the house, so his area outside the house would be three quarters (3/4) of the total area.

A=%283%2F4%29%2APi%2A25
A=59m%5E2

This would probably make more sense with a picture. If you would like to see a picture, send me a message.