As we know that the minute hand traces 4 right angles in 1 hour
Angle traced out in 60 minutes = 4 right angles
= 4 x 90° = 360°
Angle traced out in 10 minutes
= \(\frac { 360 }{ 60 }\) x 10 = 60°
Also, the small hand of a clock traces 4 right angles in 12 hours.
Angle traced out in 12 hours = 4 right angles
Angle traced out in 1 hour = \(\frac { 360 }{ 12 }\) = 30°
i.e. in 60 minutes, angle is traced out of 30°
In 1 minute, angle is traced out of \(\frac { 30 }{ 60 }\)
In 10 minutes, angle is traced out of
= \(\frac { 30 }{ 60 }\) x 10 = 5°.
Hence, the angle in degree traced out by the big hand = 60°
and the angle traced out by the small hand = 5°.
