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myrzilka [38]
3 years ago
12

What is the radian measure of the smallest angle formed by the hands of a clock at 7 o'clock?

Mathematics
1 answer:
netineya [11]3 years ago
5 0
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

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