SOLUTION: 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 diam
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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? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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: = 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 =
c = 5.656854 is the diameter of the circle
