Question 935203
A square, whose area is equal to the perimeter of the rectangle whose value 16, is inscribed in a circle with its four vertices on the circumference of the circle.
 What is the diameter of the circle?
:
The square area is given as 16, therefore:
{{{sqrt(16)}}} = 4 is the length of the side of the square
:
The square in the circle: half the square is a right triangle:
Using pythag; a^2 + b^2 = c^2
a = 4
b = 4
c = diameter of the circle
:
c = {{{sqrt(4^2 + 4^2)}}}
c = 5.656854 is the diameter of the circle