Find the area of each figure, Round to the nearest tenth if necessary. 8. a quarter-circle with a diameter of 4 meters

Step 1 ：Given a quarter-circle with a diameter of 4 meters.

Step 2 ：The radius of the circle can be found by dividing the diameter by 2, which gives \(r = 2.0\) meters.

Step 3 ：The area of a full circle is given by the formula \(\pi r^2\), substituting the value of r, we get the area of the full circle as \(\pi (2.0)^2 = 12.566370614359172\) square meters.

Step 4 ：Since we are looking for the area of a quarter-circle, we divide the area of the full circle by 4, which gives \(\frac{12.566370614359172}{4} = 3.141592653589793\) square meters.

Step 5 ：Rounding to the nearest tenth, the area of the quarter-circle is approximately \(\boxed{3.1}\) square meters.