find the surface area of a regular polygon inscribed in a cone in rust

To find the surface area of a regular polygon inscribed in a cone, we need to follow these steps:

  1. Calculate the slant height of the cone
  2. Calculate the side length of the polygon using its number of sides and radius of the cone
  3. Calculate the base area of the polygon
  4. Calculate the lateral area of the cone

Here's the implementation of the above steps in Rust:

main.rs
// Cone properties
let r = 5.0; // Radius of the cone
let h = 10.0; // Height of the cone

// Polygon properties
let n = 6; // Number of sides
let s = 2.0 * r * (std::f64::consts::PI / n as f64).sin(); // Side length of the polygon

// Slant height of the cone
let l = (r.powi(2) + h.powi(2)).sqrt();

// Base area of the polygon
let b = (n as f64 * s.powi(2)) / (4.0 * (std::f64::consts::PI / n as f64).tan());

// Lateral area of the cone
let a = std::f64::consts::PI * r * l;

// Surface area of the polygon inscribed in the cone
let sa = a + b;

println!("Surface area of the polygon inscribed in the cone: {}", sa);
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In the above program, we have used the std::f64 module of Rust's standard library for floating-point arithmetic operations, and std::f64::consts::PI constant for the value of π.

gistlibby LogSnag