Watches are so much fun

Geometry Level 2

The minute hand of a watch is xx times bigger than its hour hand. Let the area swept by the minute hand be SmS_{m} and the area swept by the hour hand be ShS_{h}. Knowing the watch is perfectly adjusted and considering a fixed interval of time, the quotient of SmSh\dfrac{S_{m}}{S_{h}} can be written as kx2kx^{2}. Find kk.

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