<PRE><B>Question 826523</B>
A clock has a radius of 20 cm. How long is the arc subtended by the smaller angle formed by the hands of the clock at 3:30? 
:
Find the angle of the hands in relation to 12 (straight up = 0)
Small hand: {{{3.5/12}}} * 360 = 105 degrees
Long hand = 180 degrees
180 - 105 = 75 degrees, the angle between the hands
:
Find the circumference
C = {{{2*pi*20}}}
C = 125.66 cm
:
Find the length of the arc between the hands
{{{75/360}}} * 125.66 = 26.18 cm</PRE>