2018 · Q67
Two equal circular regions of greatest possible area are cut off from a given circular sheet of area A. What is the remaining area of the sheet?
Elementary MathematicsMensuration
- AA/2
- BA/3
- C3A/5
- D2A/5
Explanation
The two largest equal circles that fit have diameter equal to the sheet's radius, i.e. each has area A/4. Together they remove A/2, leaving A/2, option (A).