Find one angle in 0 2 pi and 0 degree 360 degree respectivel

Find one angle, in [0, 2 pi) and [0 degree 360 degree) respectively, that is coterminal with each of the following angles. (a) 25 pi/3, (b) -760 degree A circular arc of length 100 feet subtends a central angle of 40 degree. Find the radius of the circle. Round lo the nearest whole number.

Solution

Coterminal angle with 25pi/3=25pi/3-8pi=pi/3

Coterminal angle with -760 degree=1080-760=320 degree