Respuesta :
Answer:
Hence, the required area is:
75 m²
Step-by-step explanation:
The difference of the area of circular target region with radius 5 m and a target region with radius 7 m is calculated as:
Area of circle of radius 7 m(A)- Area of a circle of radius 5 m(A')
Now, we know that the area of a circle of radius 7 m is given by:
[tex]A=\pi (7)^2\\\\A=49\pi\ m^2[/tex]
Similarly the area of a circle of radius 5 m is given by:
[tex]A'=\pi (5)^2\\\\A'=25\pi\ m^2[/tex]
Hence, the difference in the areas is given by:
[tex]=49\pi-25\pi\\\\=24\pi\\\\=75.36\ m^2[/tex]
which is approximately equal to:
75 m²
Hence, the difference in the area is:
75 m²
