Tom's dog is tied to a tree for the day. He has a chain that is 10 feet long. How much area does he have to play if the chain can move around the tree?

Question

Mathematics

Guest

12 February, 03:47

Tom's dog is tied to a tree for the day. He has a chain that is 10 feet long. How much area does he have to play if the chain can move around the tree?

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Answers (2)

Know the Answer?

Hayley Bennett · Answer 1

10 feet is that much that u would need

Gillespie · Answer 2

Answer: the area is 314 ft²

Step-by-step explanation:

if the chain can move around the tree, then the path along which the dog can move is a circle whose radius is the length of the chain.

The formula for determining the area of a circle is expressed as

Area of circle = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Therefore, the area that the dog has to play if the chain can move around the tree is

3.14 * 10² = 314 ft²