The area of a Circle is 12.56m Calculate the radius R.

The formula for the area of a circle is $A = \pi r^2$.
Given the area $A = 12.56 \text{ m}^2$ and using $\pi \approx 3.142$ (as used in the student's work):

$$12.56 \text{ m}^2 = 3.142 \times r^2$$

$$r = \sqrt{3.997454 \text{ m}^2}$$ $$r \approx 1.99936 \text{ m}$$

Rounding to two decimal places, consistent with the given area:

$$r \approx 2.00 \text{ m}$$

The radius of the circle is $\text{2.00 m}$.