Question

The area of a circle is 220 then find the area of square inscribed in it.

Answer 1

area of circle=πr^2
220 =22/7 x r^2
r^2 =70 square units
if square incribed in a circle then diameter of circle =diagonal of square
hence,
2r =√2(side length )
now take both side squaring
4r^2=2(side length) ^2

put r^2=70 from above

4(70)=2(side length) ^2

so,
(side length)^2=140 square units
but we also know
area of square =(side length)^2
hence , area of square=140 sq units