Question

A circular field has a perimeter of 650 m. A square plot having its vertices on the circumference of the field is marked in the field. Calculate the area of the square plot.

Answer 1

We have a circular field in which a square field is marked. 

Let the radius of the circle be r. We have,

Perimeter=`650`

`2pi r=650`

`= r=325/pi`

Use Pythagoras theorem to find the side of square as,

`AB=sqrt(r^2+r^2)`

`=325/pi sqrt2`

So area of the square plot,

`=(AB)^2`

`=(325/pi sqrt2)^2 m^2`

`=((325(7))/22 sqrt2)^2 m^2`

`= 21387 m^2`