The minute hand of a clock is 20 cm long. Find the area on the face of the clock swept by the minute hand between 8 a.m. and 8:45 a.m.
A. $$\frac{{6600}}{7}\,{\text{c}}{{\text{m}}^2}$$
B. $$\frac{{6600}}{9}\,{\text{c}}{{\text{m}}^2}$$
C. $$\frac{{6600}}{{18}}\,{\text{c}}{{\text{m}}^2}$$
D. $$\frac{{6600}}{{14}}\,{\text{c}}{{\text{m}}^2}$$
Answer: Option A
Solution (By Examveda Team)
$$\eqalign{ & {\text{Area}} = \frac{{270}}{{360}}\pi {r^2} \cr & = \frac{3}{4} \times \frac{{22}}{7} \times 20 \times 20 \cr & = \frac{{6600}}{7}\,{\text{c}}{{\text{m}}^2} \cr} $$This Question Belongs to Arithmetic Ability >> Mensuration 2D
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