Answer :

Final answer:

To calculate the area of the circle inscribed in a square with side lengths of 4 units, you find the radius which is half the diameter (2 units) and use the formula A = πr² to get an area of 4π unit² or approximately 12.5664 unit².

Explanation:

The question involves calculating the area of a circle that is inscribed in a square. Here, square WXYZ has side lengths of 4 units, meaning the diameter of the inscribed circle is also 4 units. To find the radius (r) of the circle, we simply divide the diameter by 2, giving us r = 2 units. Thus, the area (A) of the circle can be determined using the formula A = πr².

Substituting the radius into the formula gives us A = π(2 units)² = π(4 unit²) = 4π unit². Since π is approximately 3.1416, the area can further be approximated to 4 * 3.1416 unit² = 12.5664 unit², but depending on the level of precision required, it might be more appropriate to leave the answer in terms of π, especially if no calculator is permitted during the calculation.

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