I take 2 line segments AB and CD. Initially I keep them coincident so that points A & C and points B & D are coincident. Now I start to rotate line segment CD about point D so that D and B continue to be coincident, but no other points on the 2 line segments are coincident anymore. If CD is rotated till AB and CD become coincident again, the distance covered by point C is x. Instead, if the distance covered byC is a distance y which is less than x, and the angle covered by CD with respect to its starting position is θ, then find the relation between x, y and θ. Here assume that angle θ is in degrees.

I take 2 line segments AB and CD. Initially I keep them coincident so

1.	I take 2 line segments AB and CD. Initially I keep them coincident so that points A & C and points B & D are coincident. Now I start to rotate line segment CD about point D so that D and B continue to be coincident, but no other points on the 2 line segments are coincident anymore. If CD is rotated till AB and CD become coincident again, the distance covered by point C is x. Instead, if the distance covered byC is a distance y which is less than x, and the angle covered by CD with respect to its starting position is θ, then find the relation between x, y and θ. Here assume that angle θ is in degrees.
Answer» I take 2 line segments AB and CD. Initially I keep them coincident so that points A & C and points B & D are coincident. Now I start to rotate line segment CD about point D so that D and B continue to be coincident, but no other points on the 2 line segments are coincident anymore. If CD is rotated till AB and CD become coincident again, the distance covered by point C is $x$ . Instead, if the distance covered byC is a distance y which is less than $x$ , and the angle covered by CD with respect to its starting position is $θ$ , then find the relation between $x$ , y and $θ$ . Here assume that angle $θ$ is in degrees.