Question

what is the radian measure of the smaller angle formed by the hands of a 7 o clock

Answer 1

work out the degree and convert that into radians using 180 degrees= pi radians :D

Answer 2

the clock is divided in 12 equal parts. So each part subtends 360/12 = 30 degrees at the center. Now ,at 7, the 2 hands are separated by 5 such parts. So, angle b/w them will be 5*30=150 degrees.

Answer 3

Also the other angle will be 360-150=210

Answer 4

therefore the radians = 150 X (pi/180)

Answer 5

this is over the smaller angle as you requested