Finding the area of a shaded region in geometric figures can seem challenging, but it’s straightforward with these steps:
- Identify the shapes involved.
- Calculate the area of each shape separately using relevant formulas (e.g., area of a rectangle = length × width).
- Determine if you need to add or subtract the areas. For instance, if the shaded area is within another shape, subtract the smaller area from the larger one.
- Use consistent units for all measurements to ensure accuracy.
For example, to find the area of a shaded circle inside a square:
| Shape | Formula | Area |
|---|---|---|
| Square | side × side | 25 cm² (if side = 5 cm) |
| Circle | πr² | 12.57 cm² (if radius = 2 cm) |
The shaded area = Area of Square – Area of Circle = 25 cm² – 12.57 cm² = 12.43 cm².