Chapter 11.6, Problem 23WE

To determine

To determine the grazing area.

Answer to Problem 23WE

Area is around 1343 m².

Explanation of Solution

Given information :

  

Here we can observe that when cattle is tied to 25 m rope, the area covered by cattle is, excluding the garden.

  

There shall be four regions colored with different colors.

Hence the area is,

  $\begin{array}{l}A=\frac{1}{2}\left(10\right)\left(10\right)+\left(\frac{{45}^{\circ }}{{360}^{\circ }}\right)\left(3.14\right){\left(25-10\sqrt{2}\right)}^2+\left(\frac{{225}^{\circ }}{{360}^{\circ }}\right)\left(3.14\right){\left(25\right)}^2+\left(\frac{{90}^{\circ }}{{360}^{\circ }}\right)\left(3.14\right){\left(5\right)}^2\\ A=1343\end{array}$

Hence area is around 1343 m².