Question

Four cows are tethered at four corners of a square field of 70m side so that they can reach each other. What area of the field will remain ungrazed

Answer 1

The length grazed=70/4=17.5m
so area grazed=17.5×17.5=306.25m^2
Total area of square=70×70=4900m^2
now,area which remain ungrazed=(4900-306.25)
=4593.75m^2

Answer 2

Answer:

$1050 m^2$  

Step-by-step explanation:

Side of square field is 70 m

Refer the attached figure

Radius of 1 quadrant = $\frac{70}{2}=35 m$

Area of ungrazed field = Total area of field - Area of 4 quadrants

                                    =$Side^2 - 4 \times \frac{1}{4}\pi r^2$  

                                    =$70^2 - 4 \times \frac{1}{4}\times \frac{22}{7} \times 35^2$  

                                    =$1050 m^2$  

Hence the field will remain ungrazed is $1050 m^2$