Round and Round and Round
Age 11 to 14
Challenge Level
This problem follows on from
Going Round in Circles.
Watch the film below.
Imagine the dot starts at the point $(1,0)$, turns through $60$ degrees anticlockwise and then stops.
I was wondering, if the point hadn't stopped, and instead carried on until it had turned through $30$ $000$ degrees, might it have finished the same distance above the horizontal axis?
I took out my calculator and typed $30$ $000$ $\div$ $360$
The answer on the screen was $83.333333$.
How can I use this to help me solve my problem?
There are ideas for follow-up problems in the
Notes .