If a square and a circle have the same perimeter. Which one will have the bigger area?
Mathematics
- Bernard
- 12 जुलाई
- 4977 दृश्य
- 36 उत्तर
Your Answer
-
Mohammad
- 06 जुलाई
If the perimeter is fixed the circle will have the maximum area possible compared to any other shape including that of square.
We can check that as follows.
Let P be perimeter then,
P = 2*π*radius {For Circle} = 4*side {For Square)
therefore
Circle Area = π*radius^(2) = π*(P/(2π))^(2) = P^2/(4π) = 0.07958*P^(2)
Square Area = side^(2) = (P/4)^(2) = P/16 = 0.0625*P^(2)
hence
Circle Area > Square Area
Facebook
Twitter
0
View all voted
Modal content
