Find the area of the shaded region

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Find the area of the shaded region
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### Geometric Reasoning

**Problem b)** 

The diagram provided showcases a square with each side measuring 9 meters. Inside this square, there is a shaded region forming a star-like shape, bounded by four inward arcs, each connecting the midpoints of the square’s sides.

**Diagram Explanation:**

- **Shape**: The outer shape is a square.
- **Dimensions**: Each side of the square is labeled as 9 meters.
- **Inner Star Shape**:
  - The shaded region inside the square seems to be formed by overlapping four circular segments (or arcs).
  - Each arc originates from the midpoint of a side of the square and curves inward toward the center of the square.
  
The figure visually illustrates a complex geometric shape resulting from curved line segments within a square framework. Understanding this formation involves recognizing how the arcs intersect to create the central shaded star-like area.

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Transcribed Image Text:--- ### Geometric Reasoning **Problem b)** The diagram provided showcases a square with each side measuring 9 meters. Inside this square, there is a shaded region forming a star-like shape, bounded by four inward arcs, each connecting the midpoints of the square’s sides. **Diagram Explanation:** - **Shape**: The outer shape is a square. - **Dimensions**: Each side of the square is labeled as 9 meters. - **Inner Star Shape**: - The shaded region inside the square seems to be formed by overlapping four circular segments (or arcs). - Each arc originates from the midpoint of a side of the square and curves inward toward the center of the square. The figure visually illustrates a complex geometric shape resulting from curved line segments within a square framework. Understanding this formation involves recognizing how the arcs intersect to create the central shaded star-like area. ---
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