An anthropology graduate student measures the floor of a round hut and calculates that it has an area of 28.26 square yards. What is the floor's radius?

Answer: the floor's radius is 3 yards.

Step-by-step explanation:

The floor of the hut is circular. The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circular floor.

π is a constant whose value is 3.14

From the information given,

Area of the floor = 28.26 square yards. Therefore

3.14r² = 28.26

Dividing both sides of the equation by 3.14, it becomes

3.14r²/3.14 = 28.26/3.14

r² = 9

Taking square root of both sides of the equation, it becomes

√r² = √9

r = 3 yards