find the area of a segment of a circle in rust

To find the area of a segment of a circle, we need to know the radius of the circle and the angle of the segment. Here's the Rust code to calculate the area:

main.rs
use std::f64::consts::PI;

fn area_of_segment(radius: f64, angle: f64) -> f64 {
    let sector_area = 0.5 * radius * radius * (angle.to_radians()).sin();
    let triangle_area = 0.5 * radius * radius * (angle.to_radians()).cos();
    sector_area - triangle_area
}
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We first import the constant value of PI from the f64 module in the standard library. Then we define a function area_of_segment that takes in two arguments: radius, which is of type f64, and angle, which is also of type f64.

We calculate the sector area of the segment using the formula 0.5 * r^2 * θ (where r is the radius and θ is the angle in radians), and we calculate the area of the corresponding triangle in the segment using the formula 0.5 * r^2 * sin(θ).

Finally, we subtract the area of the triangle from the sector area to get the total area of the segment.

Here's an example usage of the function:

main.rs
fn main() {
    let radius = 5.0;
    let angle = 60.0;
    let area = area_of_segment(radius, angle);
    println!("Area of segment: {}", area);
}
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