28.09.2022

Snoopy the dog is on a 22-foot long chain that is attached to the corner of a garage, as shown in the picture below. If the chain does not allow him to go past either of the adjacent sides of the garage, how much space does Snoopy have to roam?
Snoopy the dog is on a 24 foot long chain that is attached to the corner of a garage, as shown in the picture below.

If the chain does not allow him to go past either of the adjacent sides of the garage, how much space does Snoopy have to roam?

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15.06.2023, solved by verified expert
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Answer:

113.04 foot

Make sure r = 22 or 24 foot

Step-by-step explanation:

Here the radius of the circle r = length of the chain = 24 foot 

Circumference of the circle = 2πr 

As the snoopy have roam only 3/4 part of the circle. Therefore

Total space snoopy have to roam = 3(2πr/4) = 6π× 24/4= 36π 

Taking π = 3.14 

Total space snoopy have to roam = 36×3.14 

= 113.04 foot 

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