已知弧长求半径单位:mm

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 03:06:49
已知弧长求半径单位:mm

已知弧长求半径单位:mm
已知弧长求半径

单位:mm

已知弧长求半径单位:mm
设大弧半径为R1,小弧半径为R2,弧所对的圆心角为A.
R1-R2=2340
1145/R1=975/R2
R1=2340+R2
1145/(2340+R2)=975/R2
1145*R2=975*(2340+R2)=2281500+975*R2
170*R2=2281500
R2=2271500/170=13420.588
R1=2340+R2=2340+13420.588=15760.588
A=1145/R1=1145/15760.588=0.0726496弧度=0.0726496*180/π=4.163度
大弦长=2*R1*SIN(A/2)
=2*15760.588*SIN(4.163/2)
=1144.74
小弦长=2*R2*SIN(A/2)
=2*13420.588*SIN(4.163/2)
=974.9
大弧高=R1-R1*COS(A/2)
=15760.588-15760.588*COS(4.163/2)
=10.4
小弧高=R2-R2*COS(A/2)
=13420.588-13420.588*COS(4.163/2)
=8.86