Area of Shaded Region in Circle and Square

In a circle with a radius of 10 cm, a sector is formed by a central angle of 60 degrees. Calculate the area of the shaded region when this sector is removed from a square that has each side of length equal to the diameter of the circle.

To find the area of the shaded region:

1. Determine the area of the square.

2. Calculate the area of the sector using the formula:

$$Area_{sector} = \frac{\theta}{360^{\circ}} \times \pi r^2$$

where $$\theta$$ is the central angle and $$r$$ is the radius of the circle.

3. Subtract the area of the sector from the area of the square.