If the circumference of a circle and the perimeter of a square are equal, then

Options

A. area of the circle `=` area of the square
B. (area of the circle ) `gt` (area of the square)
C. (area of the circle) `lt` (area of the square)
D. none of these

Answer

B

Explanation

`2piR=4aimpliesR/a=2/(pi)implies(R^(2))/(a^(2))=4/(pi^(2))`
`implies(piR^(2))/(a^(2))=4/(pi)gt1 [ :' pi=3.14lt4]`
`impliespiR^(2)gta^(2)`
`implies` area of circle `gt` area of square.