A circle is inscribed in a square with a perimeter of 32 inches. What is the area of the circle, in square inches? Express your answer in terms of pi.
The 4 square sides are all equal 32/4 = 8 inches = side length
this is also the circle DIAMETER so the circle radius = 4 inches
area of circle = pi r^2 = pi 4^2 = 16 pi in 2