SOLUTION: the area of the largeat rectangle that can be inscribed in a circle of the radius 5√2cm is

Algebra ->  Surface-area -> SOLUTION: the area of the largeat rectangle that can be inscribed in a circle of the radius 5√2cm is      Log On


   

Question 1114977: the area of the largeat rectangle that can be inscribed in a circle of the radius 5√2cm is
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the area of the largest rectangle that can be inscribed in a circle of the radius 5sqrt%282%29cm is
:
The largest rectangle will be a square.
The hypotenuse of the square will be the diameter of the circle. 2*5sqrt%282%29 = 10sqrt%282%29
:
let the side of the square = x
therefore using Pythagoras, a^2 + b^2 = c^2
2x%5E2 = %2810sqrt%282%29%29%5E2
2s%5E2 = 100(2)
Divide both sides by 2
x%5E2 = 100 sq/cm is the area of the square