A) \[\text{16}.\text{25 }{{\text{m}}^{\text{2}}}\]
B) \[\text{17}.\text{3 }{{\text{m}}^{\text{2}}}\]
C) \[\text{18}.\text{5}\,{{\text{m}}^{\text{2}}}\]
D) \[\text{19}.\text{25}{{\text{m}}^{\text{2}}}\]
Correct Answer: D
Solution :
| [d] Total area grazed by the cow, the horse and the buffalo |
| \[=\frac{\angle A}{360{}^\circ }\times \pi \times {{(3.5)}^{2}}+\frac{(\angle B+\angle C)}{360{}^\circ }\times \pi \times (3.5)\] |
| \[=\frac{(\angle A+\angle B+\angle C)}{360{}^\circ }\times \pi \times {{(3.5)}^{2}}\] |
| \[=-\frac{22}{7}\times \frac{180{}^\circ }{360{}^\circ }\times 3.5\times 3.5\] |
| (Sum of interior angles of a triangle is \[180{}^\circ \]) |
| \[=\frac{77}{4}=19.25{{m}^{2}}\] |
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