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A 4f by 5ft dock is anchored in the middle of a lake. The bow of a boat is tied to a corner of the dock with a 5ft rope as shown in the picture. Find the area of the region in which the bow of the boat can travel. Round your answer to the nearest foot

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MrRoyal

The area of the region in which the bow of the boat can travel is 79 square feet

How to determine the area of the region?

The given parameters are:

  • Dimension = 4ft by 5ft
  • Length of rope = 5ft

The region in which the bow of the boat can travel is a circle and the radius is the length of the rope.

The area is then calculated as:

[tex]A = \pi r^2[/tex]

So, we have:

[tex]A = 3.14 * 5^2[/tex]

Evaluate

A = 79

Hence, the area of the region in which the bow of the boat can travel is 79 square feet

Read more about areas at:

https://brainly.com/question/24487155

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