Problem 28 of 34geo-028
A square is inscribed in a circle of radius centimeters, with all of its corners on the circle. What is the area, in square centimeters, of the region inside the circle but outside the square?
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Solution walkthrough2:04
- The shaded region is what is left of the circle after the square is removed: circle minus square.
- Circle: square centimeters.
- From the center to each corner is a radius, . These four radii cut the square into right triangles.
- One triangle: . The square is four of them: .
- Shaded region: circle minus square square centimeters.
- Traps: uses the radius as the side, uses the diameter as the side. puts the square outside.