Images says all. First image gives info needed ?

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1 Answer
Jun 6, 2018

13) The perimeter of the square is longer than the circumference of the circle by #4.3# meters.
14)Area for the Gravel = Area of the Square - Area of the Circle
#=5.4# meters square

Explanation:

13) The side of the square is 5 meters: #s=5#
This is also the length of the diameter of the circle: #D=5# , so the radius of the circle is half of that: #r=D/2=5/2=2.5#

The circumference of the circle is: #C = 2pir#
If we use #pi=3.14#,
#C = 2pi*2.5#
#C = 15.7# meters

The perimeter of the square is #P = 4s#
#P = 4*5#
#P = 20# meters

So, the perimeter of the square is longer than the circumference of the circle.
The difference is #20 - 15.7 = 4.3# meters

14) The area for the gravel is the area of the square that is not used for the flower bed. So, if we take the area of the square and subtract the area of the flower bed (the circle), what is left is the area for the gravel:
Area of gravel = Area of Square - Area of Circle

The area of the square #= s^2 = 5^2 = 25 #
The area of the circle #= pi*r^2 = pi*2.5^2 = 19.6 #
So, the area of gravel #= 25 - 19.6 = 5.4# meters square