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.

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) (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:

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.

This would probably make more sense with a picture. If you would like to see a picture, send me a message.
RELATED QUESTIONS
A dog on a leash is tied to the corner of a yard is 10 feet by 8 feet. If the leash is 12 (answered by Edwin McCravy,ikleyn,ankor@dixie-net.com)

A triangular garden is enclosed by a fence. A dog is on a 5-m leash tethered to the fence (answered by ikleyn)

Joey has his dog on a leash tied on the corner of the garage. The garage is 20 feet by 30 (answered by Edwin McCravy)

A dog leash is tied to a pole. What is the area that the dog can roam if the leash is 7... (answered by TimothyLamb)

A dog on a leash is tied up outside at the corner of a garage. The garage is 20 feet by... (answered by macston)

Lauren has a dog named Sammy tied to the corner of her garage with the dimensions of 50... (answered by stanbon)

A dog is tethered to the corner of a ten-foot-by-ten-foot square pen by a leash that is... (answered by stanbon)

A classroom is 20 m long, 12 m wide, and 7 m high. Find the distance from the northeast... (answered by gonzo)

A dog is on a leash that is attached to a pole in the ground. If the leash is 8 ft long,... (answered by Alan3354)