The diagram above is the graph of y = x2, the shaded area is
Answer Details
The shaded area is a quarter of a circle with radius 8 units. To find the area of the shaded region, we need to find the area of the quarter circle.
The area of a circle with radius r is given by the formula A = πr², and the area of a quarter of a circle is one-fourth of the area of the full circle. Therefore, the area of the shaded region is:
A = (1/4)π(8²) = 16π square units
Using the approximation π ≈ 3.14, we get:
A ≈ 50.24 square units
Therefore, the answer is approximately 50.24 square units. is the closest approximation to this value, which is 64/3 square units.
