A) \[\text{2}.\text{9 cm}\]
B) \[\text{4}.\text{2 cm}\]
C) \[\text{5}.\text{4 cm}\]
D) \[\text{6}.\text{79 cm}\]
Correct Answer: D
Solution :
| Perimeter of the region containing red colour \[=2+2+\]length of arc of sector having radius \[\text{3 cm}+\] length of arc of sector having radius \[\text{5 cm}\] |
| \[=4+2\times \frac{22}{7}\times 3\times \frac{20{}^\circ }{360{}^\circ }+2\times \frac{22}{7}\times 5\times \frac{20{}^\circ }{360{}^\circ }\] |
| \[=4+\frac{44}{7}\times \frac{1}{18}\times 8=4+\frac{176}{63}\] |
| \[=4+2.79=6.79\,cm\] |
| So, option [d] is correct. |
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