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can anyone help? :/ A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary.

can anyone help? :/ A dog is leashed to the corner of a house. How much running area-example-1

1 Answer

4 votes

Answer:

943 square ft.

Explanation:

If the dog is leashed to the corner of a house with a rope or leash of a radius of 20 feet, then the dog can run in a 3/4 part of a circular area around the corner of the house.

The running area of the dog is given by the formula of the area of a 3/4 part of a circle:

A = 3/4* πr^2

where r is the radius of the circle.

Substituting the given value of r = 20 feet, we get:

A =3/4 *π(20)^2

A =3/4*22/7*400 square ft.

A=942.85 in nearest square ft it is 943 square ft.

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