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

Respuesta :

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

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