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. Find the area of that part of the…

Area of that part of the field in which the horse can graze by means of a $\displaystyle 5$ m long rope \(\displaystyle =\frac{1}{4} \times 3.14 \times(5)^{2}\) \[=19.625 m^{2} \] Area of that part of the field in which the horse can graze by means of a $\displaystyle 10$ m long rope \(\displaystyle \boldsymbol{=} \frac{\mathbf{1}}{\mathbf{4}} \boldsymbol{\times} \mathbf{3 . 1 4} \boldsymbol{\times} \boldsymbol{(} \mathbf{1 0} \boldsymbol{)}^{\mathbf{2}}\) \[=78.5 \mathrm{~m}^{2} \] Increase in grazing area \(\displaystyle =78.5 m^{2}-19.625 m^{2}=58.875 m^{2}\)