Problem #22

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 use pow() for exponentiation ().
  • using namespace std; allows the use of standard functions without prefixing them with std::.

2. User Input Function (ReadTriangleData)

  • Uses reference parameters (float &A, float &B) to modify the values directly.
  • Prompts the user to enter:
    • The side length (A) of the isosceles triangle.
    • The base length (B) of the triangle.

3. Area Calculation Function (CircleAreaByITriangle)

  • Takes the side length (A) and base length (B) as input.
  • Uses the given formula to compute the area of a circle inscribed in an isosceles triangle:

  • This is implemented as:
float Area = PI * (pow(B, 2) / 4) * ((2 * A - B) / (2 * A + B));

    • pow(B, 2) calculates .
    • PI is defined as 3.141592653589793238 for precise calculations.
  • Returns the computed area.

4. Output Function (PrintResult)

  • Receives the computed area as a parameter.
  • Prints "Circle Area = [Area]".

5. Program Execution (main())

  • Calls ReadTriangleData() to get user input.
  • Calls CircleAreaByITriangle() 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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