What is the probability of landing in 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
Problem 1CT
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What is the probability of landing in the shaded region?

**Title: Understanding Geometric Shapes: Squares and Circles**

**Square with Side Length 40 ft**

The image depicts a square with a side length of 40 feet. An orange square is shown with equal sides, symbolizing the definition of a square where all four sides are of equal length. 

**Description of Diagram:**
In the center of the square, there is a blue circle. The circle is inscribed in the square, meaning that the circle fits perfectly within the square, touching the square at exactly four points. The diameter of the circle is equal to the side length of the square, which is 40 feet.

This visualization helps in understanding the relationship between a square and an inscribed circle, leading to concepts such as:

- The side length of the square (40 feet) is equal to the diameter of the circle.
- The radius of the circle would therefore be half the side length of the square, which is 20 feet.

This geometric representation is useful in various mathematical computations and understanding spatial relationships between different shapes.
Transcribed Image Text:**Title: Understanding Geometric Shapes: Squares and Circles** **Square with Side Length 40 ft** The image depicts a square with a side length of 40 feet. An orange square is shown with equal sides, symbolizing the definition of a square where all four sides are of equal length. **Description of Diagram:** In the center of the square, there is a blue circle. The circle is inscribed in the square, meaning that the circle fits perfectly within the square, touching the square at exactly four points. The diameter of the circle is equal to the side length of the square, which is 40 feet. This visualization helps in understanding the relationship between a square and an inscribed circle, leading to concepts such as: - The side length of the square (40 feet) is equal to the diameter of the circle. - The radius of the circle would therefore be half the side length of the square, which is 20 feet. This geometric representation is useful in various mathematical computations and understanding spatial relationships between different shapes.
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