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

Algebra ->  Trigonometry-basics -> 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      Log On


   



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) About Me  (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: 3.5%2F12 * 360 = 105 degrees
Long hand = 180 degrees
180 - 105 = 75 degrees, the angle between the hands
:
Find the circumference
C = 2%2Api%2A20
C = 125.66 cm
:
Find the length of the arc between the hands
75%2F360 * 125.66 = 26.18 cm