Question

What is the difference between the areas of a circular target region with radius 5 m and a target region with radius 7 m? Round your answer to the nearest square meter. 36 m2 6 m2 75 m2 12 m2

Answer 1

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:

$A=\pi (7)^2\\\\A=49\pi\ m^2$

Similarly the area of a circle of radius 5 m is given by:

$A'=\pi (5)^2\\\\A'=25\pi\ m^2$

Hence, the difference in the areas is given by:

$=49\pi-25\pi\\\\=24\pi\\\\=75.36\ m^2$

which is approximately equal to:

                      75 m²

         Hence, the difference in the area is:

                              75 m²

Answer 2

That would be 7²π-5²π=49π-25π=24π≈75