Final answer:
The value of the radius is 27 meters.
Step-by-step explanation:
To find the value of the radius, we can use the formula for the area of a circle: A = πr². Given that the area is 2257 m², we can set up the equation 2257 = πr². Solving for r, we divide both sides of the equation by π and then take the square root:
r = √(2257/π) ≈ 26.84 meters
Since none of the answer choices match exactly, we can round the value of the radius to the nearest whole number. Therefore, the value of the radius is 27 meters.