+0  
 
0
65
3
avatar+803 

What is the degree measure of the smaller angle between the hour hand and the minute hand of a clock at exactly 2:30 p.m. on a 12-hour analog clock?

Lightning  Sep 15, 2018
 #1
avatar
+1

Use this formula to calculate the angle between the two hands of a clock.
Abs(1/2 * (60*H) - (11*M)) =, whrere H=Hours, M=Minutes.
Abs(1/2 * ((60*2) - (11*30)) =
Abs(1/2 * (120 - 330) =
Abs(1/2 * (210)=105 degrees

Guest Sep 15, 2018
 #2
avatar+13571 
+2

Hour hand moves 360 degrees in 12 hours  ....   30 degrees per hour or 15 degrees per 1/2 hour

   so 2:30  would be 5    1/2 hour segments   5 x 15 = 75 degrees= angle of hour hand.    The MINUTE hand will be at 180 degrees (pointing directly downwawrd)      180 degrees - 75 degrees = 105 degrees.

ElectricPavlov  Sep 15, 2018
 #3
avatar+93866 
+1

What is the degree measure of the smaller angle between the hour hand and the minute hand of a clock at exactly 2:30 p.m. on a 12-hour analog clock?

 

At 2:30 the big hand is on the 6 hour mark and the little hand is half way between the 2 and the 3

The clock is divided into 12 hourly segments so each segment is 360/12 = 30 degrees

 

the hands are 3.5 segments apart

 

3.5*30 =  105 degrees

Melody  Sep 16, 2018

30 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.