The area of the shaded region is 502.4 ft^2
The area of a circle is the space occupied by a circle in a two-dimensional plane. Alternatively, the space taken up inside the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, in2, etc. Area of a circle = πr2 or πd2/4 in square units, where (Pi) π = 22/7 or 3.14. Pi (π) is the ratio of the circumference to the diameter of any circle. It is a special mathematical constant.
It is given that inner diameter is 36 ft and width of the ring is 4 ft
We need to find the area of the shaded region
diameter of outer ring= d1=36+4+4 = 44 ft ,
diameter of inner ring= d2=36 ft,
r1=d1/2= 44/2 = 22 ft , r2=d2/2 = 36/2 = 18 ft
Area of shaded region = Area of Outer circle - Area of inner circle
= π r1^2 - π r2^2
= π ( 22^2 - 18^2 )
= 3.14 * 160
= 502.4 ft^2
Hence the area of the shaded region is 502.4 ft^2
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