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Find the bigger angle in degrees formed between the hour hand and the minute hand at exactly 9:209:20.

Note: The red color is the hour hand and the yellow color is the minute hand.

 

 Jul 8, 2020
 #1
avatar+643 
+1

We know each hour space is 360/12= 30 degrees. When it is 9:20, the hour hand is 1/3 the way between 9 and 10. It is 10 degrees above 9 o clock. Between the hours 4 and 9 is 5 spaces so 5*30=150. The smaller angle in the clock is 150+10=160 degrees. Then the bigger angle is 360-160=200 degrees.

 Jul 8, 2020
 #2
avatar+26007 
+1

Hour hand moves   0.5 degree per minute

    at 9:00 it has moved  270 degrees

        in 20 more minutes it moves 10 degrees = 280 degrees

 

minute hand moves 6 degrees per minute     at 20 minute = 120degrees

 

360 - 280 + 120 =    200o

 Jul 8, 2020

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