Question 8
A square is inscribed in a circle with diameter 2. Four smaller circles are then constructed with their diameters on each of the sides of the square. Determine the area of the shaded region.
**Editorial note for this self-study exercise:** Only the four exterior crescent-shaped regions shown are shaded. Enter their total area in square units as a number; the diameter has unspecified length units.
**Editorial note for this self-study exercise:** Only the four exterior crescent-shaped regions shown are shaded. Enter their total area in square units as a number; the diameter has unspecified length units.