Question

Write and test a program that computes the area of a circle. This program should request a number representing a radius as input from the user. It should use the formula 3.14*radius**2 to compute the area and then output this result suitably labeled. Include screen shot of code.

Answer 1

To write a program that computes the area of a circle, you can use the formula A = πr², where A is the area and r is the radius.

Step-by-step explanation:

To write a program that computes the area of a circle, you can use the formula A = πr², where A is the area and r is the radius. Here is an example of a Python program that prompts the user for the radius and calculates the area:

import math

radius = float(input('Enter the radius: '))
area = math.pi * radius ** 2
print('The area of the circle is:', area)

In this program, we use the math module to access the value of π. The radius is converted from a string input to a float using the float() function. The area is calculated using the formula πr², and the result is printed with an appropriate label.

Answer 2

A simple Python program for computing the area of a circle has been provided, which prompts the user for a radius, uses the area formula A = πr² with π approximated as 3.14, and displays the result, taking significant figures into account.

Step-by-step explanation:

To write a program that computes the area of a circle, we use the area formula A = πr², where 'A' is the area and 'r' is the radius of the circle. The approximate value of π (pi) is 3.14 if we are not using a high-precision calculation. Below is an example of a simple Python program that requests the radius input from the user, calculates the area using the provided radius, and outputs the result:

# Python Program to Compute the Area of a Circle
# Ask the user for the radius
radius = float(input("Enter the radius: "))
# Compute the area using the formula
area = 3.14 * radius ** 2
# Display the result
print("The area of the circle with radius ", radius, " is: ", area)

To ensure the output follows the rules of significant figures, one would limit the displayed area to the same number of significant figures as the radius provided. For example, if the radius is given as 1.2 meters, then the area should be presented as 4.5 m², assuming the radius has two significant figures.