Question: Write a program that prompts the user to enter the length from the center of a pentagon to a vertex and computes the area of

Write a program that prompts the user to enter the length from the center of a pentagon to a vertex and computes the area of the pentagon, as shown in the following figure.

The formula for computing the area of a pentagon is

where s is the length of a side. The side can be computed using the formula s = 2r sin π/5, where r is the length from the center of a pentagon to a vertex. Round up two digits after the decimal point. Here is a sample run:

Enter the length from the center to a vertex: 5.5
The area of the pentagon is 71.92

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