Question 1114977
the area of the largest rectangle that can be inscribed in a circle of the radius {{{5sqrt(2)}}}cm is 
:
The largest rectangle will be a square.
 The hypotenuse of the square will be the diameter of the circle. 2*{{{5sqrt(2)}}} = {{{10sqrt(2)}}}
:
let the side of the square = x
therefore using Pythagoras, a^2 + b^2 = c^2
{{{2x^2}}} = {{{(10sqrt(2))^2}}}
{{{2s^2}}} = 100(2)
Divide both sides by 2
{{{x^2}}} = 100 sq/cm is the area of the square