- #1
PeteCA
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Dimensions of rectangle are a=2 and b=5.
Perimeter and area P=2a+2b=14 and A=a*b=10
If we take a rope of length l=14m, encircle the rectangle and connect the ends we will have the same perimeter.
Now we take this rope and make circle of it, this circle will have the same perimeter of rectangle P=14.
Radius is r=(14)/(2*pi)= 2.228
Area of circle will be A=r*r*pi=2.228*2.228*pi=15.597
Why area of circle A=15.597 is not the same as area of rectangle A=10 ?
Perimeter and area P=2a+2b=14 and A=a*b=10
If we take a rope of length l=14m, encircle the rectangle and connect the ends we will have the same perimeter.
Now we take this rope and make circle of it, this circle will have the same perimeter of rectangle P=14.
Radius is r=(14)/(2*pi)= 2.228
Area of circle will be A=r*r*pi=2.228*2.228*pi=15.597
Why area of circle A=15.597 is not the same as area of rectangle A=10 ?