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
Related questions
Question
![**Problem Statement:**
The diameter of a circle is 4 inches. Find its area in terms of \( \pi \).
**Solution:**
To find the area of a circle, use the formula:
\[ A = \pi r^2 \]
Given the diameter (d) is 4 inches, first find the radius (r):
\[ r = \frac{d}{2} = \frac{4}{2} = 2 \text{ inches} \]
Now use the radius to find the area:
\[ A = \pi \times (2)^2 = \pi \times 4 = 4\pi \text{ square inches} \]
Therefore, the area is:
\[ \boxed{4\pi \text{ in}^2} \]
**Interactive Answer:**
\[ \text{Answer: } A = \boxed{4} \pi \text{ in}^2 \]
**Submit Answer Button:**
(A blue button labeled "Submit Answer" is present for learners to submit their calculation.)
---
This educational explanation includes the step-by-step process to solve the problem, ensuring clear understanding for the students visiting the website.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea1a5613-d2f8-4cf1-95b3-485b087f9657%2Fe36ec802-6413-4474-a228-72b6e3dc8745%2Fk3vts9i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The diameter of a circle is 4 inches. Find its area in terms of \( \pi \).
**Solution:**
To find the area of a circle, use the formula:
\[ A = \pi r^2 \]
Given the diameter (d) is 4 inches, first find the radius (r):
\[ r = \frac{d}{2} = \frac{4}{2} = 2 \text{ inches} \]
Now use the radius to find the area:
\[ A = \pi \times (2)^2 = \pi \times 4 = 4\pi \text{ square inches} \]
Therefore, the area is:
\[ \boxed{4\pi \text{ in}^2} \]
**Interactive Answer:**
\[ \text{Answer: } A = \boxed{4} \pi \text{ in}^2 \]
**Submit Answer Button:**
(A blue button labeled "Submit Answer" is present for learners to submit their calculation.)
---
This educational explanation includes the step-by-step process to solve the problem, ensuring clear understanding for the students visiting the website.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning