Particle moves in a plane, and i've found that x.n=k

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Hi people, could someone please help with the following:

If a particle moves in a plane, and I've found that x.n=k where n=w/|w|, then how do i go about showing that the particle moves in a circle?

A fly moves with constant speed v along the spoke of a wheel rotating with angular speed w. Starting from the center of wheel at time t=0, find it's distance at t. Show that the angle theta made between the spoke and the original direction is wt.


Any help would be welcome, cheers,
JB
 
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