Question 223686
Perimeter of a semicircle is given by:
{{{p=(pi)r+d}}}
In this case, you are given r, so the perimeter of the semicircle (and the square) is:
{{{p=8(pi)+16}}}
The equation for the perimeter of a square (s=side of the square) is:
{{{p=4s)}}}
Since the perimeter of the square is the same as the circle, you can substitute the expression found for the perimeter of the circle into the equation for the perimeter of the square and solve for s:
{{{8(pi)+16=4s}}}
{{{highlight(s=2(pi)+4)}}}
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Good Luck,
tutor_paul@yahoo.com