Current location - Health Preservation Learning Network - Fitness coach - The bottom line of the bow is 2 meters high and 20 centimeters high. What is the degree and arc length of this bow angle? Find the formula
The bottom line of the bow is 2 meters high and 20 centimeters high. What is the degree and arc length of this bow angle? Find the formula
Bow base line L= 1930 height H=340. What is the degree and arc length c of this bow angle a?

The radius of the arc is R.

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)

=340/2+ 1930^2/(8*340)

= 1539.449

A = 2 * arcsine ((L/2)/R)

= 2 * Arcsine ((1930/2)/ 1539.449)

=77.636 degrees

=77.636*PI/ 180

= 1.355002 radian

c = R * A = 1539.449 * 1.355002 = 2085.96