To find the area of the shaded region in a circle with center O and a radius of 4, we first need to calculate the area of the entire circle.
The formula to find the area (A) of a circle is given by:
A = πr²
Where:
- A is the area of the circle
- π (pi) is approximately 3.14
- r is the radius of the circle
In this case, the radius (r) is 4. Substituting the value into the formula:
A = π(4)²
A = π(16)
A ≈ 3.14 * 16
A ≈ 50.24
So, the area of the entire circle is approximately 50.24 square units.
Next, if the shaded region is defined and we know its relation to the rest of the circle, we can subtract any non-shaded areas from the total area if necessary. However, since the question only asks for the area of the shaded region without additional information, we must conclude here that the area of the entire circle, approximately 50.24 square units, is what we have unless more details about the shaded region are given.