The circumference of a circle is 2pr where r is the radius of the circle. Write Python statements that calculate and print the circumference of a circle whose radius is 8 inches. Use a variable named radius and set it to 8. Use a variable named pi and set it to 3.14. Use a variable named circ that stores the calculated circumference using Python math operators. Output: The circumference of the circle is _____ inches.
The correct answer and explanation is :
Output:
The circumference of the circle is 50.24 inches.
Explanation (300+ words):
In this Python program, we are calculating the circumference of a circle using the mathematical formula:
[
\text{Circumference} = 2 \times \pi \times r
]
Where:
- ( \pi ) (pi) is approximately 3.14
- ( r ) is the radius of the circle
- The result gives us the distance around the edge of the circle
Step-by-step Breakdown:
- Variable Declaration:
radius = 8
This sets the radius of the circle to 8 inches. Variables are used to store data, and here radius is holding the numeric value 8.
- Assigning the value of pi:
pi = 3.14
Although Python has a more accurate value of pi in its math module (math.pi), the problem specifies using 3.14, so we manually set it.
- Calculating Circumference:
circ = 2 * pi * radius
This uses basic math operators:
*for multiplication- The expression follows the order of operations (PEMDAS)
- First
2 * piis computed (result: 6.28), then multiplied by the radius (8) So:
[
\text{circ} = 2 \times 3.14 \times 8 = 6.28 \times 8 = 50.24
]
- Printing the Result:
print("The circumference of the circle is", circ, "inches.")
This prints the final value in a readable format. The print() function outputs text and variable values.
This program demonstrates how to use variables, apply mathematical formulas, and produce meaningful output — a key skill in both math and programming.
Would you like to see the same example using Python’s built-in math.pi for higher precision?