The minute hand of a clock is 7 cm long. Find the area of the sector made by the minute hand between 7 am and 7.05 am :

Solution (By Examveda Team)

Angle traced by the minute hand in 5 minutes :
$$\eqalign{ & = {\left( {\frac{{360}}{{60}} \times 5} \right)^ \circ } \cr & = {30^ \circ } \cr} $$
Area of the sector :
$$\eqalign{ & = \left( {\frac{{22}}{7} \times 7 \times 7 \times \frac{{30}}{{360}}} \right)c{m^2} \cr & = 12.83\,c{m^2} \cr} $$