Final answer:
The area of a circle can be found using the formula A = πr². To find the radius when the area is given, we can solve the formula for r by dividing both sides of the equation by π and taking the square root.
Step-by-step explanation:
The area of a circle is given by the formula A = πr², where A represents the area and r represents the radius of the circle. In this case, the area of the circle is given as 1540m². We can substitute this value into the formula and solve for the radius:
1540m² = πr²
To isolate r, we divide both sides of the equation by π:
r² = 1540m²/π
Now, we can take the square root of both sides to find the value of r:
r = √(1540m²/π)
Using a calculator to approximate the square root and divide, we find that the radius is approximately 22.05m.