Step-by-step explanation:
The radius of Circle A is 5 ft. If Circle B has a radius 4 ft greater than Circle A, then the radius of Circle B is 9 ft. If Circle C has a radius 2 ft greater than Circle B, then the radius of Circle C is 11 ft. If Circle D has a radius 3 ft less than Circle C, then the radius of Circle D is 8 ft.
Now that we have the radius for each circle, we can use the area formula to find the area of each circle. We will use 3.14 in the placement of [tex]\pi[/tex].
[tex]A = r^2(3.14)[/tex]
[tex]A(Circle A)=5^2(3.14)\\A(Circle A)=25*3.14\\[/tex]
The area of Circle A is 78.5 ft².
[tex]A(Cirlcle B)=9^2(3.14)\\A(Cirlcle B)=81(3.14)[/tex]
The area of Circle B is 254.34 ft².
[tex]A(Circle C)=11^2(3.14)\\A(Circle C)=121(3.14)[/tex]
The area of Circle C is 379.94 ft².
[tex]A(Circle D)=8^2(3.14)\\A(Circle D)=64(3.14)[/tex]
The area of Circle D is 200.96 ft².
Now that we know the area for each of the circles, we need to find how many times greater the area of Circle D is to the area of Circle A. We can do this by dividing the area of Circle D and the area of Circle A.
200.96 ÷ 78.5 = 2.56
The area of Circle D is 2.56 times greater than the area of Circle A.
