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

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 = $\frac{\mathrm{Center}\mathrm{angle}}{360\xb0}\times {\mathrm{\pi r}}^{2}$

So,

Area of the part of the field in which the horse can graze = $\frac{90\xb0}{360\xb0}\times \frac{22}{7}\times {7}^{2}=\frac{1}{4}\times 22\times 7=\frac{154}{4}=\mathbf{38}\mathbf{.}\mathbf{5}\mathbf{}{\mathbf{m}}^{\mathbf{2}}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{(}\mathbf{}\mathbf{Ans}\mathbf{}\mathbf{)}$

b ) Area of total part that can graze by horse if rope is 14 m long = $\frac{90\xb0}{360\xb0}\times \frac{22}{7}\times {14}^{2}=\frac{1}{4}\times 22\times 2\times 14=\frac{616}{4}=\mathbf{154}\mathbf{}{\mathbf{m}}^{\mathbf{2}}\mathbf{}$

Then ,

**Increase in grazing area = 154 - 38.5 = 115.5 m**

^{2 }( Ans )Hope this information will clear your doubts about topic.

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