the perimeter of a square and the circumference of a circle are equal find which of them have larger area?
Answers
Answered by
3
perimeter of squre = circumference of circle
4a = 2pi r
a = 2pi r/ 4
= pi r/2
area of square = a^2 = (pi r/2)^2
pi^2 r^2/4 = 121/49r^2 .....1
area of circle = pie r^2 = 22/7 r^2 .......2
from 1 and 2 we have
121 /49r^2 is smaller than 22/7 r^2
4a = 2pi r
a = 2pi r/ 4
= pi r/2
area of square = a^2 = (pi r/2)^2
pi^2 r^2/4 = 121/49r^2 .....1
area of circle = pie r^2 = 22/7 r^2 .......2
from 1 and 2 we have
121 /49r^2 is smaller than 22/7 r^2
pratimakushwahpdtklk:
here 121 /49= 2.5 and 22/7= 3.14 therefore 22/7 is greater than 121 /7
hope it is helpful for you
it's very helpful
i glad of it
Similar questions