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## circle
### Instructions
Create the structures `Circle` and `Point` and the methods necessary for the code in [usage](#usage) to compile and run giving the expected result.
Methods:
- Point;
distance()
- Circle:
diameter -> returns the diameter of the circle
area -> returns the area of the circle
intersection -> returns true if the 2 circles intersect
Associated Functions
- Circle:
new -> receives three 64 bits floating point numbers in the following
order: x, y and radius (x and y are the coordinates of the center).
and returns a new circle
### Expected Functions and Structures
This snippets are incomplete and it's part of the exercise to discover the how to complete them
```rust
struct Circle {
center //..
radius //..
}
struct Point {
// ...
}
// Point
fn distance(p1, p2) -> _ {
}
// Circle
fn new(x: f64, y: f64, radius: f64) -> Circle {
}
fn diameter(_) -> _ {
}
fn area() -> _ {
}
```
### Usage
Here is a program to test your function
```rust
use std::f64::consts;
use circle::{Circle, Point};
fn main() {
let circle = Circle::new(500.0, 500.0, 150.0);
let circle1 = Circle {
center: Point { x: 80.0, y: 115.0 },
radius: 30.0,
};
let point_a = Point { x: 1.0, y: 1.0 };
let point_b = Point { x: 0.0, y: 0.0 };
println!("circle = {:?} area = {}", circle, circle.area());
println!("circle = {:?} diameter = {}", circle, circle.diameter());
println!("circle1 = {:?} diameter = {}", circle1, circle1.diameter());
println!(
"circle and circle1 intersect = {}",
circle.intersect(&circle1)
);
println!(
"distance between {:?} and {:?} is {}",
point_a,
point_b,
point_a.distance(&point_b)
);
}
```
And its output
```console
student@ubuntu:~/[[ROOT]]/test$ cargo run
circle = Circle { center: Point { x: 500.0, y: 500.0 }, radius: 150.0 } area = 70685.83470577035
circle = Circle { center: Point { x: 500.0, y: 500.0 }, radius: 150.0 } diameter = 300
circle1 = Circle { center: Point { x: 80.0, y: 115.0 }, radius: 30.0 } diameter = 60
circle and circle1 intersect = false
distance between Point { x: 1.0, y: 1.0 } and Point { x: 0.0, y: 0.0 } is 1.4142135623730951
student@ubuntu:~/[[ROOT]]/test$
```