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Answer:
g(r) = (13 -πr)²/4
Step-by-step explanation:
The circumference of the circle is given by ...
C = 2πr
The amount of rope remaining after the circle is formed will be ...
26 -2πr
When this is used to form a square, each side of the square will be 1/4 of this length, so is ...
s = (26 -2πr)/4 = (13 -πr)/2
The area of the square is the square of the side lengths, so is ...
g(r) = ((13 -πr)/2)²
g(r) = (13 -πr)²/4 . . . . area of the square as a function of circle radius
