To solve this problem, we must plug in our given values into the formula for the area of a circle: A = πr^2. Because we don't have the radius given to us in this problem, we must find it using what we are given, the diameter, using the equation below:
2r = d
If we plug in the diameter given, we get:
2r = 4.1 m
To solve we must divide both sides of the equation by 2, so that we can get the variable r alone on the left side of the equation.
r = 2.05 m
Now, we can plug in this radius value into our original equation for the area of a circle:
Area = πr^2
A = π(2.05 m)^2
To solve this problem, we must square the value inside the parentheses first.
A = 4.2025π m²
Therefore, your answer is 4.2025π m², because the question asks for the answer in terms of pi (no more simplification is necessary).
Hope this helps!