java语言程序设计与数据结构（基础篇）第四章答案

4.1

import java.util.Scanner;

public class Welcome
{
	public static void main(String[] args)
	{
		Scanner input = new Scanner(System.in);
		System.out.print("Enter the length from the center to a vertex:");
		double r = input.nextDouble();
		double s = 2 * r * Math.sin(Math.PI / 5);
		double area = 5 * s * s / (4 * Math.tan(Math.PI / 5));
		System.out.printf("The area of the pentagon is %.2f",area);
	}
}

4.2

import java.util.Scanner;

public class Welcome
{
	public static void main(String[] args)
	{
		Scanner input = new Scanner(System.in);
		System.out.print("Enter point 1(latitude and longitude) in degrees:");
		double deX1 = input.nextDouble(),deY1 = input.nextDouble();
		System.out.print("Enter point 2(latitude and longitude) in degrees:");
		double deX2 = input.nextDouble(),deY2 = input.nextDouble();
		double x1 = Math.toRadians(deX1),y1 = Math.toRadians(deY1);
		double x2 = Math.toRadians(deX2),y2 = Math.toRadians(deY2);
		final double r = 6371.01;
		double d = r * Math.acos(Math.sin(x1) * Math.sin(x2) + Math.cos(x1) * Math.cos(x2) * Math.cos(y1 - y2));
		System.out.println("The distance between the two points is "+d+" km");
	}
}

4.3

4.4

import java.util.Scanner;

public class Welcome
{
	public static void main(String[] args)
	{
		Scanner input = new Scanner(System.in);
		System.out.print("Enter the side: ");
		double s = input.nextDouble();
		double area = 6 * s * s / (4 * Math.tan(Math.PI / 6));
		System.out.printf("The area of the hexagon is %.2f",area);
	}
}

4.5

import java.util.Scanner;

public class Welcome
{
	public static void main(String[] args)
	{
		Scanner input = new Scanner(System.in);
		System.out.print("Enter the number of sides:");
		int num = input.nextInt();
		System.out.print("Enter the side:");
		double s = input.nextDouble();
		double area = num * s * s / (4 * Math.tan(Math.PI / num));
		System.out.println("The area of the polygon is "+area);
	}
}

4.6