2015 · Q90
Three equal circles each of diameter d are drawn on a plane in such a way that each circle touches the other two. What is the area of the region enclosed by the three circles?
Elementary MathematicsCircles
- Aπ d²
- Bπ d²(2-{3})²
- C{π d²({3}+1)²}{2}
- D{π d²({3}+2)²}{12}
Explanation
DISPUTED — the enclosed gap is (equilateral triangle of side d) minus three 60° sectors: (√3/4 − π/8)d² ≈ 0.0403d², which matches none of the listed options; the options are corrupted in the source. Stored key A retained; key disputed.