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