Final answer:
To find the area of each quarter circle, divide the area of the full circle by 4. Then, round the answer to the nearest hundredth.
Step-by-step explanation:
To find the area of each quarter circle, you can start by finding the area of a full circle using the formula A = πr².
Since the diameter of the full circle is given, you can divide it by 2 to find the radius. Then, substitute the radius into the formula to find the area of the full circle.
Next, divide the area of the full circle by 4 to find the area of each quarter circle. Finally, round the answer to the nearest hundredth using the given value of π (3.141).
Let's do an example:
If the diameter of the full circle is 4 meters, then the radius would be 4/2 = 2 meters.
The area of the full circle would be π(2 meters)² = 3.141(4 meters)² = 3.141(16) = 50.265 square meters.
Dividing the area by 4, the area of each quarter circle would be 50.265/4 = 12.56625 square meters.
Rounding to the nearest hundredth, the area of each quarter circle is approximately 12.57 square meters.