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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![**Find the area of each circle.**
### 1.
(Graph/Diagram Explanation): The diagram displayed is a circle with a radius of 7 meters. The radius is the distance from the center of the circle to any point on its circumference.
To find the area \( A \) of a circle, you can use the formula:
\[ A = \pi r^2 \]
where \( r \) is the radius of the circle, and \( \pi \) (pi) is a mathematical constant approximately equal to 3.14159.
For this circle:
\[ r = 7 \, \text{m} \]
Substitute the radius into the formula:
\[ A = \pi (7)^2 \]
\[ A = 49\pi \]
So, the area of the circle is \( 49\pi \) square meters. If you approximate \( \pi \approx 3.14 \), then:
\[ A \approx 49 \times 3.14 \]
\[ A \approx 153.86 \, \text{m}^2 \]
Therefore, the area of the circle is approximately 153.86 square meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f6796b3-ecfe-4b1a-91b7-5a670cff2d92%2F48cb9d2c-d367-4964-ae3a-c814475b5ba0%2Feipq6pw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Find the area of each circle.**
### 1.
(Graph/Diagram Explanation): The diagram displayed is a circle with a radius of 7 meters. The radius is the distance from the center of the circle to any point on its circumference.
To find the area \( A \) of a circle, you can use the formula:
\[ A = \pi r^2 \]
where \( r \) is the radius of the circle, and \( \pi \) (pi) is a mathematical constant approximately equal to 3.14159.
For this circle:
\[ r = 7 \, \text{m} \]
Substitute the radius into the formula:
\[ A = \pi (7)^2 \]
\[ A = 49\pi \]
So, the area of the circle is \( 49\pi \) square meters. If you approximate \( \pi \approx 3.14 \), then:
\[ A \approx 49 \times 3.14 \]
\[ A \approx 153.86 \, \text{m}^2 \]
Therefore, the area of the circle is approximately 153.86 square meters.
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