Problem #20
Solution Source Code
Code Overview
1. Header Files and Namespace:
<iostream>
is included for input and output operations.<string>
is included for potential future use (not used in this program).<cmath>
is included to usepow()
for exponentiation (A²
).using namespace std;
allows the use of standard functions without prefixing them withstd::
.
2. User Input Function (ReadSquareSide
)
- Prompts the user to enter the side length (A) of a square.
- Reads and returns the side length.
3. Area Calculation Function (CircleAreaInscribedInSquare
)
- Takes the side length (A) as input.
- Uses the formula for the area of an inscribed circle in a square:
- This is implemented as:
float Area = (PI * pow(A, 2)) / 4;
pow(A, 2)
calculatesA²
.PI
is defined as3.141592653589793238
for precise calculations.- The division by
4
ensures correct computation of the inscribed circle's area.
- Returns the computed area.
4. Output Function (PrintResult
)
- Receives the computed area as a parameter.
- Prints
"Circle Area = [Area]"
.
5. Program Execution (main()
)
- Calls
ReadSquareSide()
to get user input. - Calls
CircleAreaInscribedInSquare()
to compute the inscribed circle's area. - Calls
PrintResult()
to display the result. - Returns
0
to indicate successful execution.
This structured explanation ensures clarity and ease of understanding.
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