A) \[\text{128}\text{.57 cm}\]
B) \[\text{132}.\text{56 cm}\]
C) \[\text{145}.\text{57 cm}\]
D) \[\text{15}0\text{ cm}\]
Correct Answer: B
Solution :
| Total length of boundary of region which is painted green = 4 [circumference of semi-circle of radius 4 cm each + length of arc of quadrant of radius 8 cm + radius of quadrant]. |
| \[=4\left[ \frac{1}{2}\times 2\pi (4)+\frac{1}{4}\times 2\times \pi \times 8+8 \right]\] |
| \[=4[4\pi +4\pi +8]=4(8\pi +8)=4\left( 8\times \frac{22}{7}+8 \right)\] |
| \[=4(33.14)=132.56cm\] |
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