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

that would be 7²π-5²π=49π-25π=24π≈75

Answer 2

Hence, the required area is:

75 m²

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