Understanding the Problem
To find the area of the shaded portion in a given figure, we first need to understand the basic shapes involved. Typically, these shapes could be rectangles, circles, triangles, or a combination of these.
Step 1: Identify the Shapes
- Determine the total area of the larger shape.
- Identify the area of the unshaded portion or the smaller shape.
Step 2: Calculate the Areas
- For rectangles, use the formula: Area = length × width.
- For circles, use the formula: Area = π × radius².
- For triangles, use the formula: Area = 1/2 × base × height.
Step 3: Find the Area of the Shaded Portion
- Subtract the area of the unshaded portion from the total area:
- Area of shaded portion = Total area - Area of unshaded portion.
Example Calculation
- Total Area: Suppose a rectangle has a length of 10 cm and a width of 5 cm.
- Total Area = 10 cm × 5 cm = 50 cm².
- Unshaded Area: If there is a circle with a radius of 2 cm inside:
- Unshaded Area = π × (2 cm)² ≈ 12.57 cm².
- Shaded Area:
- Shaded Area = 50 cm² - 12.57 cm² ≈ 37.43 cm².
Conclusion
By following these steps, you can efficiently calculate the area of the shaded portion in any geometric figure. Be sure to carefully identify all the shapes and apply the correct formulas to ensure accurate results.