Answer:
The area of the blank M is 326.56m²
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes
Given data
Diameter of flower bed d=22m
Radius of flower bed r= 11m
Width of side walk x =4m
To solve for the area of the blank we need to subtract the area of the side walk from the area of the flower bed
But we don't know the diameter of the side walk
Let the diameter of the side walk be D= diameter of flower bed +2(width of the side walk )
D= 22+2(4)
D=22+8
D=30m
Radius of side walk is R=30/2 =15m
Area of blank =area of side walk minus area of flower bed
Area of circle =πr²
Area of blank M = πR²-πr²
M= π(R²-r²)
M= 3.14(15²-11²
M=3.14(225-121)
M=3.14(104)
M= 326.56m²
The area of the blank M 326.56m²
M to the power of 2 =326.56²=106641.43
