Question 102

The dimensions of a rectangular filed are 60 meters and 80 meters. Four cowsare tied at the four corners of the field with ropes of lengths 10, 12, 14 and 16 meters respectively. The area of the grass that cows could eat in sq meters is

Solution

let the rectangular length l = 80 m. and width w = 60 m. 

then the area of the  rectangular length = 4800 sq. m. 

and radius of the quadrant  $$r_{1}$$,$$r_{2}$$,$$r_{3}$$ and $$r_{4}$$ will be respectively 10,12,14 and 16 m 

then area of all quadrant = $$\pi$$ $$\times$$ $$r_{1}^{2}$$ \4 +  $$\pi$$ $$\times$$ $$r_{2}^{2}$$\4 + $$\pi$$ $$\times$$ $$r_{3}^{2}$$\4 +$$\pi$$ $$\times$$ $$r_{4}^{2}$$\4

                                      =  $$\pi$$ $$\times$$ $$10^{2}$$ \4 + $$\pi$$ $$\times$$ $$12^{2}$$\4 + $$\pi$$ $$\times$$ $$14^{2}$$\4 +$$\pi$$ $$\times$$ $$16^{2}$$\4  

                                      =  $$\pi$$ \4 $$\times$$ (100 + 144 + 196 + 256)

                                      = 174   $$\pi$$  Answer

                            


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