What is the number of degrees in the acute angle formed by the hands of a clock at $6:40$?
I think it is 40 degrees :-)
Hour hand 180 + 40(.5) = 200 degrees
minute hand 40( 6) = 240 degrees
240 - 200 = 40 degrees
6 : 40
Hello Guest!
\({\color{blue}\angle_{6:40}}=40\ min\cdot \frac{360\ degrees}{60\ min}-(6\cdot 60+40)\ min\cdot \frac{360\ degrees}{12\cdot 60\ min}\color{blue}=40\ degrees\)
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