已知弧长C=5.03和弦长L=4.02,求扇形面积S(不包括三角形)
Rn+1=(1+(L-2*Rn*SIN(C/(2*Rn)))/(L-C*COS(C/(2*Rn))))*Rn
R0=2
R1=2.1739
R2=2.2167
R3=2.2188
R4=2.2188
圆的半径R=2.2188
圆心角A=C/R=5.03/2.2188=2.267弧度=2.267*180/PI=129.889度
S=PI*R^2*A/360-(L/2)*(R^2-(L/2)^2)^0.5
=PI*2.2188^2*129.889/360-(4.02/2)*(2.2188^2-(4.02/2)^2)^0.5
=5.58-1.889
=3.691