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

To find the surface area of a regular polygon inscribed in a cylinder, we need to find the area of the side of the cylinder and the area of the regular polygon.

The area of the side of the cylinder can be calculated using the formula:

main.rs
S = 2πrh
9 chars
2 lines

where S is the surface area of the side, r is the radius of the cylinder, and h is the height of the cylinder.

To find the area of the regular polygon, we can use the formula:

main.rs
A = (n × s2) / (4 × tan(π/n))
30 chars
2 lines

where A is the area of the regular polygon, n is the number of sides, and s is the length of each side.

Putting it all together, we can write a Rust function to calculate the surface area of a regular polygon inscribed in a cylinder:

main.rs
fn surface_area_of_polygon_in_cylinder(radius: f64, height: f64, num_sides: u32, side_length: f64) -> f64 {
    let side_area = 2.0 * std::f64::consts::PI * radius * height;
    let polygon_area = (num_sides as f64 * side_length.powi(2)) / (4.0 * (std::f64::consts::PI / num_sides as f64).tan());

    side_area + polygon_area
}
329 chars
7 lines

This function takes four arguments: the radius and height of the cylinder, the number of sides of the regular polygon, and the length of each side. It returns the total surface area of the cylinder and the inscribed regular polygon.

You can call this function like this:

main.rs
let surface_area = surface_area_of_polygon_in_cylinder(5.0, 10.0, 6, 3.0);
println!("Surface area: {}", surface_area);
119 chars
3 lines

This will calculate the surface area of a cylinder with a radius of 5.0 and a height of 10.0, and an inscribed regular hexagon with a side length of 3.0 units. The output will be the total surface area of the cylinder and polygon.