calculate the value of pi by throwing darts. We will create two shapes, a square and...

 

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calculate the value of pi by throwing darts. We will create two shapes, a square and a circle inscribed in that square, as shown below. The radius of the circle is 1, so the length of each side of the square is 2. If we throw darts such that they all land in the square and are evenly distributed about the square, then the proportion of darts that land in the circle to the number of darts thrown is darts in circle darts thrown We can calculate the area of the circle as Area = into the equation above and solve for it, we get * = r = 1 darts in circle darts thrown area of circle area of square r² = and the area of the square is 4. We plug * area of square If we limit our area of concern to the upper right quadrant of the square, the area of the square is reduced to 1, and the area of the circle is */4, so the equation doesn't change, but we only have to throw darts in between 0<x< 1 and 0 <y<1. Write Python code to solve the problem as stated. The program should calculate pi by throwing darts. The program shall have: 1. A loop of some type. Structures such as while true: and break are prohibited from use, and will result in a 0 on the project if used. 2. An if statement of some type. 3. A function that is useful, appropriate, and appropriately defined and called. All code should be properly commented, with the student's name as a comment at the top. Students shall list as comments everywhere they received help for the code. GETTING HELP FROM CHEGG.COM IS PROHIBITED. calculate the value of pi by throwing darts. We will create two shapes, a square and a circle inscribed in that square, as shown below. The radius of the circle is 1, so the length of each side of the square is 2. If we throw darts such that they all land in the square and are evenly distributed about the square, then the proportion of darts that land in the circle to the number of darts thrown is darts in circle darts thrown We can calculate the area of the circle as Area = into the equation above and solve for it, we get * = r = 1 darts in circle darts thrown area of circle area of square r² = and the area of the square is 4. We plug * area of square If we limit our area of concern to the upper right quadrant of the square, the area of the square is reduced to 1, and the area of the circle is */4, so the equation doesn't change, but we only have to throw darts in between 0<x< 1 and 0 <y<1. Write Python code to solve the problem as stated. The program should calculate pi by throwing darts. The program shall have: 1. A loop of some type. Structures such as while true: and break are prohibited from use, and will result in a 0 on the project if used. 2. An if statement of some type. 3. A function that is useful, appropriate, and appropriately defined and called. All code should be properly commented, with the student's name as a comment at the top. Students shall list as comments everywhere they received help for the code. GETTING HELP FROM CHEGG.COM IS PROHIBITED.

Answer rating: 100% (QA)

Step 1 of 1 Heres an implementation in Python that meets the requirements Import the random module for generating random numbers import random Define ... View the full answer