Web Analytics

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.

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. class=

Verified Answer :

A  = pi . r^2

A = 3.14 x 20^2

A = 1256 ft^2

Hope this helps

Answer:

1256 ft^2

Step-by-step explanation:

Area (A) of a circumference is A = πr^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 = πr^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