Given chord length 2.2M, chord height 0.5m, radius 1.47M, calculate arc length

Given chord length 2.2M, chord height 0.5m, radius 1.47M, calculate arc length

Given chord length L = 2.2M, chord height h = 0.5m, find arc length C, radius r?
The central angle of the arc is a
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*R*H+H^2+L^2/4
2*R*H=H^2+L^2/4
R=H/2+L^2/(8*H)
=0.5/2+2.2^2/(8*0.5)
=1.46M
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((2.2/2)/1.46)
=97.776 degrees
C=PI*R*A/180=PI*1.46*97.776/180=2.492M

We only know the chord length is 1.38M and the chord height is 0.5m. How much is the arc length
trouble

Diameter: 1.38 * 1.38 / (4 * 0.5) + 0.5 = 1.4522m
Center angle: 2 * arcsin (1.38 / 1.4522 = 143.714 degrees)
Arc length: 3.1416 * 1.4522 * 143.714/360 = 1.82M

1. If the arc length and chord length are known, the diameter can be calculated. 2. If the arc length and chord height are known, the diameter can be calculated

1. Given the arc length C and chord length L, find the diameter D? Arc radius R. RN + 1 = (1 + (L-2 * RN * sin (C / (2 * RN))) / (L-C * cos (C / (2 * RN)))) * RN. First, give an initial value R0 and substitute R0 into the above formula to get R1; then substitute R1 into the above formula to get R2; then substitute R2 into the above formula to get R3; until RN is very close to RN + 1, then R