A geometry problem by Alhaidar Ahiyal
Geometry
Level
2
The figure below consists of four congruent externally tangent circles inscribed in a rectangle. Which statement is correct about the shaded portion?
It cannot be determined.
It is equal to the area of the unshaded region.
It is greater than the area of the unshaded region.
It is less than the area of the unshaded region.
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1 solution
The four quarter circles add up to one. The square is also a rectangle. Area of shaded portion is 16−3π whereas the area of the unshaded portion is 3π≈9.42