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 :
A. 11.53 cm2
B. 12.83 cm2
C. 15.43 cm2
D. None of these
Answer: Option B
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 :
$$\eqalign{ & = \left( {\frac{{22}}{7} \times 7 \times 7 \times \frac{{30}}{{360}}} \right)c{m^2} \cr & = 12.83\,c{m^2} \cr} $$
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