The problem requires us to write an algorithm (in pseudocode) that calculates the area of a circle. The algorithm takes the radius of the circle as input. It should check if the radius is an integer. If the radius is an integer, the algorithm calculates the area using the formula $Area = 3.14 * radius * radius$ and displays the result. If the radius is not an integer, the algorithm should terminate.
2025/4/13
1. Problem Description
The problem requires us to write an algorithm (in pseudocode) that calculates the area of a circle. The algorithm takes the radius of the circle as input. It should check if the radius is an integer. If the radius is an integer, the algorithm calculates the area using the formula and displays the result. If the radius is not an integer, the algorithm should terminate.
2. Solution Steps
Here's the pseudocode for the algorithm:
```
START
INPUT radius
IF radius is an integer THEN
area = 3.14 * radius * radius
OUTPUT area
ELSE
OUTPUT "Error: Radius must be an integer"
ENDIF
END
```
Step-by-step explanation:
* START: Indicates the beginning of the algorithm.
* INPUT radius: This line represents taking the radius of the circle as input from the user. The input will be stored in a variable called "radius".
* IF radius is an integer THEN: This line checks if the input radius is an integer.
* area = 3.14 * radius * radius: If the radius is an integer, the area is calculated using the given formula.
* OUTPUT area: The calculated area is displayed as output.
* ELSE: If the radius is not an integer, the algorithm proceeds to the ELSE block.
* OUTPUT "Error: Radius must be an integer": An error message is displayed indicating that the radius must be an integer.
* ENDIF: Marks the end of the IF-THEN-ELSE block.
* END: Indicates the end of the algorithm.
3. Final Answer
```
START
INPUT radius
IF radius is an integer THEN
area = 3.14 * radius * radius
OUTPUT area
ELSE
OUTPUT "Error: Radius must be an integer"
ENDIF
END
```