SOLUTION: Dear Sir / Ma'am; A pleasant day! Kindly help me with this mathematical problem about Angles and measures. Here is the problem: A clock has a radius of 20 cm. How long is th

Question 826523: Dear Sir / Ma'am;
A pleasant day! Kindly help me with this mathematical problem about Angles and measures. Here is the problem:
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?
Thank you very much for your help!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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: * 360 = 105 degrees
Long hand = 180 degrees
180 - 105 = 75 degrees, the angle between the hands
:
Find the circumference
C =
C = 125.66 cm
:
Find the length of the arc between the hands
* 125.66 = 26.18 cm
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