Q-3 [30 pts] In this question, you will experimentally verify the sensitivity of using a precise...

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Q-3 [30 pts] In this question, you will experimentally verify the sensitivity of using a precise Pi to the accuracy of computing the area of a circle. You need to perform the following activities with a Python program: 1. Ask the user to input a radius value. It may be an integer or a float. 2. Compute the area of a circle with that radius using Pi from the Python Math Library. Assign the area to a variable, say realA. 3. Now compute the area of the circle using the Pi value with precision 1,2, and 3 points after the decimal place. (i.e., Pi = 3.1, 3.14 & 3.141). Then print the percentage difference between each of the areas calculated using each of these values of Pi and realA. Note: Difference is: Area from Math Library - Area you calculate with Pl = 3.xxx Example input: Please enter a radius value: 7.1 Example output: The real area of the circle is: 158.36768566746144 with pi= 3.1, percentage difference 1.3239352830248852 % with pi= 3.14, percentage difference 0.05069573828972128 % with pi= 3.141, percentage difference 0.018864749671345722 % Save & Run 10/3/2023, 11:21:14 PM - 2 of 2 Show in CodeLens Q-3 [30 pts] In this question, you will experimentally verify the sensitivity of using a precise Pi to the accuracy of computing the area of a circle. You need to perform the following activities with a Python program: 1. Ask the user to input a radius value. It may be an integer or a float. 2. Compute the area of a circle with that radius using Pi from the Python Math Library. Assign the area to a variable, say realA. 3. Now compute the area of the circle using the Pi value with precision 1,2, and 3 points after the decimal place. (i.e., Pi = 3.1, 3.14 & 3.141). Then print the percentage difference between each of the areas calculated using each of these values of Pi and realA. Note: Difference is: Area from Math Library - Area you calculate with Pl = 3.xxx Example input: Please enter a radius value: 7.1 Example output: The real area of the circle is: 158.36768566746144 with pi= 3.1, percentage difference 1.3239352830248852 % with pi= 3.14, percentage difference 0.05069573828972128 % with pi= 3.141, percentage difference 0.018864749671345722 % Save & Run 10/3/2023, 11:21:14 PM - 2 of 2 Show in CodeLens

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Python program that implements the described activities python import math Step 1 Ask ... View the full answer