Pls solve ques11 ans is (a) 38.5 m^2 (b) 115.5 m^2

Dear Student,

Please find below the solution to the asked query:

11 ( a )  From given required area we can find by using formula for area of sector of a circle that have radius of 7 m ,

We know : Area of sector of circle = $\frac{\mathrm{Center} \mathrm{angle}}{360°}\times {\mathrm{\pi r}}^2$

So,

Area of the part of the field in which the horse can graze = $\frac{90°}{360°}\times \frac{22}{7} \times 7^2 = \frac{1}{4}\times 22 \times 7 = \frac{154}{4} = \mathbf{38}\mathbf{.}\mathbf{5}\mathbf{ }{\mathbf{m}}^{\mathbf{2}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)}$

b ) Area of total part that can graze by horse if rope is 14 m long = $\frac{90°}{360°}\times \frac{22}{7} \times {14}^2 = \frac{1}{4}\times 22 \times 2 \times 14 = \frac{616}{4} = \mathbf{154}\mathbf{ }{\mathbf{m}}^{\mathbf{2}}\mathbf{ }$

Then ,

Increase in grazing area =  154 - 38.5 = 115.5 m²                                              ( Ans )

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