10209 - Is This Integration ?

10209 - Is This Integration ?.cpp

/**
 * Tittle:	10209 - Is This Integration ?
 * Author:	Cheng-Shih, Wong
 * Date:	2015/05/19
 */

// include files
#include <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>

using namespace std;

// definitions
#define FOR(i,a,b) for( int i=(a),_n=(b); i<=_n; ++i )
#define clr(x,v) memset( x, v, sizeof(x) )

// declarations
const double PI = acos(-1.0);
double r;
double area;
double A, B, C;

// functions


// main function
int main( void )
{
	area = PI/3.0 - 4.0*cos(PI*75/180)*sin(PI*75/180) + 2.0 - sqrt(3.0);

	// input
	while( scanf( "%lf", &r )==1 ) {
		// solve
		A = r*r*area;
		B = r*r*(PI-2.0) - 2.0*A;
		C = r*r - A - B;

		// output
		printf( "%.3lf %.3lf %.3lf\n", A, B, C );
	}
	
	return 0;
}