The diagram represents the circular floor under the dome of a state capitol building. the diameter is 40 feet. find the area of the floor. use 3.14 for π.

1256 ft^2

Step-by-step explanation:

Area (A) of a circumference is A = π*r^2, where r is the radius of the circumference.

Taking into account that r = D/2, where D is the diameter of the circumference, therefore, the area formula can be written as

A = π*r^2

A = π*(D/2)^2

π*(D^2)/4

For this exercise, the diameter is 40 feet, hence

A = π*(D^2)/4 = 3.14*(40^2)/4 = 1256 ft^2

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb