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UESTC1713 无关青云路,无关诗书,无你处,无江湖

题意:给出两个圆的坐标求两圆相交的面积

题解:两个圆相交,包含,相离,相切等情况,判断两个圆心的距离与半径的关系,相交的部分可以看作是两个扇形减去菱形的面积

#include <stdio.h>#include <math.h>#define PI acos(-1)double x1,x2,yy,y2,R,r,s1,s2,p,s3,l, s5,s4;int main(){    int T;    scanf("%d", &T);    while(T--){        scanf("%lf%lf%lf%lf%lf%lf", &x1, &yy, &r, &x2, &y2, &R);        l = sqrt((x1-x2)*(x1-x2)+(yy-y2)*(yy-y2));        //cout<<l<<endl;        if(R<r) {            s5 = R;            R = r;            r = s5;        }        if(R >= l+r) printf("%.6f\n", r*r*PI);        else if(l >= R+r) printf("%.6f\n", 0);        else{            s1 = acos((r*r+l*l-R*R)/2/r/l);            s2 = acos((R*R+l*l-r*r)/2/R/l);            s3 = cos(s1)*r*sin(s1)*r;            s4 = cos(s2)*R*sin(s2)*R;            s1 = r*r*s1;            s2 = R*R*s2;            printf("%f\n", s1-s3+s2-s4);        }    }    return 0;}

 

UESTC1713 无关青云路,无关诗书,无你处,无江湖