53rd to 55th B.P.S.C. (Pre) 2011
The length of the minute hand of a clock is 12 cm, then the area covered by minute in one minute will be-
a22.12 sq. cm
b23.10 sq. cm
c24.12 sq. cm
dNone of the above✓ Correct
Explanation
The angle subtended by the min. hand of the clock in One minutes = $6^\circ$ $\therefore$ Area covered by min. hand in one minute = $\frac{\pi r^2 \theta}{360^\circ}$ = $\frac{22}{7} \times \frac{12 \times 12 \times 6^\circ}{360^\circ} cm^2$ = $\frac{22}{7 \times 60} \times 144 cm^2$ = $\frac{11 \times 72}{7 \times 15} \Rightarrow 7.54 cm^2$
general-mental-ability
