7. Write a function that evaluates the area of a pentagon. Use "math.pi", for pi, and "math.sqrt" for square root. Write the solution on the space provided below. You do not need to run the code. 311 3.2 (Geometry: area of a pentagon) 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 pen- tagon, as shown in the following figure. r 3√3 The formula for computing the area of a pentagon is Area -s², where s is 2 = 2r sin TT 5 the length of a side. The side can be computed using the formula s where r is the length from the center of a pentagon to a vertex. Here is a sample run: Enter the length from the center to a vertex: 5.5 The area of the pentagon is 108.61 Enter

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7. Write a function that evaluates the area of a pentagon. Use "math.pi", for
pi, and "math.sqrt" for square root. Write the solution on the space
provided below. You do not need to run the code.
311 3.2
(Geometry: area of a pentagon) 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 pen-
tagon, as shown in the following figure.
The formula for computing the area of a pentagon is Area
3√3
2
-s², where s is
TT
the length of a side. The side can be computed using the formula s = 2r sin
5'
where r is the length from the center of a pentagon to a vertex. Here is a sample
run:
Enter the length from the center to a vertex: 5.5 Enter
The area of the pentagon is 108.61
Transcribed Image Text:7. Write a function that evaluates the area of a pentagon. Use "math.pi", for pi, and "math.sqrt" for square root. Write the solution on the space provided below. You do not need to run the code. 311 3.2 (Geometry: area of a pentagon) 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 pen- tagon, as shown in the following figure. The formula for computing the area of a pentagon is Area 3√3 2 -s², where s is TT the length of a side. The side can be computed using the formula s = 2r sin 5' where r is the length from the center of a pentagon to a vertex. Here is a sample run: Enter the length from the center to a vertex: 5.5 Enter The area of the pentagon is 108.61
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