Question

An anthropology graduate student measures the floor of a round hut and calculates that it has an area of 12.56 square meters. What is the floors diameter ?

Answer 1

The diameter of the room is 4 m.

Explanation:

Since the hut is round we can assume that the floor is a circle, so in order to find the diameter of the floor we need to use the circle's area which is given by:

circle area = π*r²

In this case we have the area of the floor, so we can solve for "r". We have:

12.56 = π*r²

π*r² = 12.56

r² = 12.56/π

r² = 12.56/3.14 = 4

r = sqrt(4) = 2 m

The diameter is 2*r so the diameter of this room is 4 m.