Question

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

Answer 1

Solution:-

In the given question, the square is inscribed in the circle.
Circumference of circle = 2πr
650 = 2*22/7*r
r = (650*7)/44
r = 103.409 m
As the diagonal of the square plot is the diameter of the circle.
hence, r × 2 = d
so, Diameter = 103.409*2
Diameter of circle = 206.818 m = Diagonal of square plot
Now, 
Area of the square plot = 1/2 × d²
= 1/2 × (206.818)²
= 1/2 × 42773.68
Area of the square plot = 21386.84 sq m
Answer.

Answer 2

hope this helps you out