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  • A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see Fig. 12.11). Find (ii) the increase in the grazing area if the rope were 10 m long instead of 5 m. (Use pi = 3.14)

8. A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see Fig.). Find

(ii) the increase in the grazing area if the rope were 10 m long instead of 5 m. (Use \pi = 3.14)

                              

Answers (1)

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When the length of the rope is 10 m, the area grazed will be:- 

                                                 Area\ =\ \frac{\Theta}{360^{\circ}}\ \times \pi r^2

                                                            =\ \frac{90^{\circ}}{360^{\circ}}\ \times \pi \times 10^2

                                                            =\ 25 \pi\ m^2

Hence the change in grazing area is given by  :

                                                                      =\ 25 \pi\ -\ \frac{25 \pi}{4}\ =\ 58.85\ m^2

Posted by

Devendra Khairwa

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