To solve the problem of finding the area of a shaded part, follow these general steps (I’ll use a common example to illustrate):
General Approach
- Identify the shapes: Determine which basic shapes (square, circle, triangle, etc.) make up the figure and the shaded region.
- Calculate areas of relevant shapes: Compute the area of the larger shape(s) and the unshaded parts (if the shaded area is a difference).
- Compute the shaded area: Subtract the unshaded area from the larger area (or add areas if the shaded part is a combination of shapes).
Example Problem
Suppose the figure is a square of side 10 cm with an inscribed circle (diameter = square side). The shaded area is the part of the square not covered by the circle.
Step 1: Area of the square
Area = side × side = 10 cm × 10 cm = 100 cm².
Step 2: Area of the circle
- Radius of circle = diameter/2 = 10/2 = 5 cm.
- Area = πr² = π × (5)² = 25π ≈ 25 × 3.14 = 78.5 cm².
Step 3: Shaded area
Shaded area = Area of square - Area of circle = 100 - 78.5 = 21.5 cm².
Note
If your problem involves different shapes (e.g., overlapping circles, triangles inside rectangles), apply the same logic: break down the figure into known shapes, calculate their areas, and adjust (add/subtract) to get the shaded area.
Please provide more details about your specific figure (shapes, dimensions) if you need a precise solution!
Answer (for the example): 21.5 cm² (or 100-25π cm² if exact value is needed).
If your problem is different, share the details and I’ll help!
\boxed{21.5} (adjust based on your actual problem)


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