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