2020 · Q86
What is the area of the largest square plate cut from a circular disk of radius one unit?
Elementary MathematicsMensuration
- A4 square units
- B2√2 square units
- Cπ square units
- D2 square units
Explanation
The largest inscribed square has the circle's diameter as its diagonal: diagonal = 2, side = 2/√2 = √2, area = 2. The square's diagonal equals the disc's diameter, 2 units. Its side is therefore √2 and its area 2 square units.