Final answer:
A basic Python program asks the user for the radius of a circle, calculates the area using the formula A = πr², and displays the area rounded to two significant figures.
Step-by-step explanation:
To solve a problem that asks for the radius of a circle and then calculates and displays its area, we can use a simple Python program. Here is an example:
import math
# Ask user for the radius
circle_radius = float(input('Please enter the radius of the circle: '))
# Calculate the area of the circle
area = math.pi * (circle_radius ** 2)
# Display the area, rounded to two significant figures
print(f'The area of the circle is: {round(area, 2)} square units')
This program uses the formula A = πr² to calculate the area, where π (pi) is approximately 3.14159, and r is the radius of the circle. It then rounds the result to match the significant figures of the given radius. Note that when dealing with significant figures in measurements, it is important to limit the precision of the calculated quantity accordingly.