Question

A square with side length of 9 centimeters is inscribed in circlej find the exact cicumference of circlej

Answer 1

Answer:

as the side of square is 9cm

And it is inscribed in a circle

diagonal of square = diameter of circle

so finding length of diagonal with the help of Pythagoras theorem

(hyp)^2= (base)^2 + ( perpendicular)^2

= (9)^2+(9)^2

=81+81

=162

hyp =√162

9√2

hyp= length of diagonal = diameter of circle

= 9√2

radius = 9√2/2

circumference= 2Πr

= 2× 22/7 × 9√2/2

=22/7 × 9√2

= (198√2) /7