jeffreydaboy6923 jeffreydaboy6923
  • 17-05-2018
  • Mathematics
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What is the radian measure of the smallest angle formed by the hands of a clock at 7 o'clock?

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calculista
calculista calculista
  • 26-05-2018
see the picture attached to better understand the problem
we know that
a full circle is a 360 degrees
divided in 12 equals parts-------> 360/12-------> 30 degrees each part

the smallest angle formed by the hands of a clock at 7 o'clock has 5 parts
so
5*30
°------> 150°

convert to radian
pi radians---------> 180°
 x ---------------> 150°
x=150*pi/180--------> x=0.83*pi radians

the answer is
0.83*pi radians  or 2.62 radians
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