First, we will get theta/2 and then use this angle to get the length of chord as follows:
height of segment = radius * (1- cos(theta/2))
2 = 10 * (1-cos(theta/2))
0.2 = 1 - cos(theta/2)
cos(theta/2) = 0.8
theta/2 = 36.8698
Now that we have calculated theta/2 , we can get the chord length as follows:
cord length = 2*radius*sin(theta/2)
cord length = 2*10*sin(36.8698)
cord length = 12 ft
Based on the above calculations, the correct choice is:
A. 12 ft
