Final answer:
The value of the radius is 6&surd;2 m.
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where A is the area and r is the radius. In this case, the area of the circle is given as 72π m2.
To find the value of the radius, we can rearrange the formula and solve for r. Dividing both sides of the equation by π gives us r² = 72. Taking the square root of both sides, we get r = √72. Simplifying this surd, we have r = 6√2 m.