2010 · Q23
Three circular laminas of the same radius are cut out from a larger circular lamina. When the radius of each lamina cut out is the largest possible, then what is the ratio (approximate) of the area of the residual piece of the original lamina to its original total area ?
Elementary MathematicsMensuration
- A0.30
- B0.35
- C0.40
- D0.45
Explanation
Residual ratio = 1-3/(1+2/√3)² ≈ 0.35.