If the angular speed of point P is 1 radian per second, then p will move around the entire circle in how many seconds?

Question

(Simplify answer. Type an exact answer, using Pi as needed. Use integers or fractions for any numbers in the expression.)

Answer 1

A full rotation around a circle takes 360 degrees or 2*Pi radian. This is just another way that we measure rotation, just like feet and meters are different ways that we measure distance. Pi = 3.14....... and is a number just a little bigger that 3, so 2*Pi is slightly bigger than 6. Exact means that we don't round or cut off any digits of Pi so we just use the symbol or word (Pi).

It takes 2*Pi radian to do a full rotation around a circle and in 1 second the point moves 1 radian, so to move 2*Pi radian will take 2*Pi seconds.