急,已知扇形l两弧线间的距离是53cm,弧长分别为184cm,90cm,如何画?请问两弦长计算是?

Question

急,已知扇形l两弧线间的距离是53cm,弧长分别为184cm,90cm,如何画?请问两弦长计算是?

Answer 1

已知扇形l两弧线间的距离是53cm,弧长分别为C1=184cm,C2=90cm,如何画?请问两弦长L1,L2计算是?
大弧半径为R1,小弧半径为R2,弧所对的圆心角为A.
R1-R2=53
A=C1/R1=C2/R2=184/R1=90/R2
R2=(90/184)*R1
R1-R2=R1-(90/184)*R1=53
R1*(94/184)=53
R1=53*184/94=103.74cm
R2=(90/184)*R1=(90/184)*103.74=50.74cm
A=C1/R1=184/103.74=1.773585弧度=1.773585*180/π=101.62度
L1=2*R1*SIN(A/2)
=2*103.74*SIN(101.62/2)
=160.81cm
L2=2*R2*SIN(A/2)
=2*50.74*SIN(101.62/2)
=78.65cm