SOLUTION: A crossection of a tunnel is in the shape of a major segment of a circle of radius 1m on a chord of length 1.6m. Calculate the angle subtend by the major arc
Algebra ->
Circles
-> SOLUTION: A crossection of a tunnel is in the shape of a major segment of a circle of radius 1m on a chord of length 1.6m. Calculate the angle subtend by the major arc
Log On
Question 1142417: A crossection of a tunnel is in the shape of a major segment of a circle of radius 1m on a chord of length 1.6m. Calculate the angle subtend by the major arc Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A crossection of a tunnel is in the shape of a major segment of a circle of radius 1m on a chord of length 1.6m.
Calculate the angle subtend by the major arc
:
We can find the angle of the minor arc using half right triangle formed by the the radius and the half the chord
sin(A) =
A = 53.13 degrees
therefore the minor arc is 2 * 53.13 = 106.26 degrees
and the major arc is:
360 - 106.26 = 253.74 degrees