Question

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.

Answer 1

1256 ft^2

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

Answer 2

A = pi . r^2

A = 3.14 x 20^2

A = 1256 ft^2

Hope this helps