2019 · Q41
If a circle and a square have the same perimeter, then
general-mental-abilityquantitative-aptitude
- Atheir areas are equal
- Bthe area of the circle is greater than the area of the square
- Cthe area of the square is greater than the area of circle
- Dthe area of the circle is two times the area of the square
Explanation
For a given perimeter P, the circle's area is P^2/4pi (about 0.0796 P^2) while the square's is P^2/16 (0.0625 P^2). By the isoperimetric property the circle encloses the maximum area for a given perimeter, so its area is greater. Hence B.