Question

Exercise 1: Work programming exercise 4.1, page 150. Name it Pentagon, Run the program with different input values. Document the code and follow the output model shown in the sample run in the textbook (limit the precision of the result to two digits to the rnight of the decimal point)

Please write this program as simple as possible and use comments throughout to explain what is happening. Thank you!

Answer 1

PYTHON CODE:

# importing math package for sin and tan calculations
import math

# getting length from the center to a vertex from the user
r=float(input("Enter the length from the center to a vertex: "))

# calculating the length of the side
x=2 * r *math.sin(math.pi/5)

# calculating the area of the pentagon using given formula
area=(5 * x * x)/(4 *math.tan(math.pi/5))

# displaying the area
print('The area of the pentagon is %.2f' %area)

SCREENSHOT FOR OUTPUT:

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