Sketch the graph of the following circle. (x-2)² + (y-1)² = = 81 (a) Find the center of the circle. (b) Find the radius of the circle. (c) Graph the circle. (a) Find the center of the circle. (Type an ordered pair.) (b) Find the radius of the circle. (Type an integer or a decimal.) (c) Graph the circle. Use the graphing tool to graph the circle. Click to enlarge graph 45 12 9 6- 3- 8 fr 9 -12- 4415- Ау
Sketch the graph of the following circle. (x-2)² + (y-1)² = = 81 (a) Find the center of the circle. (b) Find the radius of the circle. (c) Graph the circle. (a) Find the center of the circle. (Type an ordered pair.) (b) Find the radius of the circle. (Type an integer or a decimal.) (c) Graph the circle. Use the graphing tool to graph the circle. Click to enlarge graph 45 12 9 6- 3- 8 fr 9 -12- 4415- Ау
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![### Circle Graphing Exercise
**Problem Statement:**
Sketch the graph of the following circle.
\[ (x - 2)^2 + (y - 1)^2 = 81 \]
**Tasks:**
1. **(a)** Find the center of the circle.
2. **(b)** Find the radius of the circle.
3. **(c)** Graph the circle.
### Step-by-Step Solution:
**Task (a)**: Find the center of the circle.
- **Instruction**: Type an ordered pair.
**Task (b)**: Find the radius of the circle.
- **Instruction**: Type an integer or a decimal.
**Task (c)**: Graph the circle.
- **Instruction**: Use the graphing tool to graph the circle.
- **Graphing Tool**: Click to enlarge graph.
### Detailed Explanation of the Diagram:
The right side of the interface displays a coordinate grid for graphing purposes. The coordinate grid is labeled with both x and y axes, each ranging from -15 to 15. The grid lines are visible, making it easier to plot precise points and shapes.
#### To enlarge and draw the circle:
1. Click on the "Click to enlarge graph" button.
2. Use the graphing tool provided to plot the center and mark the radius as calculated in steps (a) and (b).
### Additional Notes:
- **Time Remaining**: 00:13:34 (indicates the available time left to complete this exercise).
- This exercise must be done within the given timeframe.
By completing this exercise, students will gain practical experience in identifying the components of a circle equation and plotting circles on a coordinate plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c22293a-3ae6-4ac2-9c37-c12acd82a0e8%2F0e73d69d-a238-4391-b8fb-a1bf9735a769%2F1nswvcr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Circle Graphing Exercise
**Problem Statement:**
Sketch the graph of the following circle.
\[ (x - 2)^2 + (y - 1)^2 = 81 \]
**Tasks:**
1. **(a)** Find the center of the circle.
2. **(b)** Find the radius of the circle.
3. **(c)** Graph the circle.
### Step-by-Step Solution:
**Task (a)**: Find the center of the circle.
- **Instruction**: Type an ordered pair.
**Task (b)**: Find the radius of the circle.
- **Instruction**: Type an integer or a decimal.
**Task (c)**: Graph the circle.
- **Instruction**: Use the graphing tool to graph the circle.
- **Graphing Tool**: Click to enlarge graph.
### Detailed Explanation of the Diagram:
The right side of the interface displays a coordinate grid for graphing purposes. The coordinate grid is labeled with both x and y axes, each ranging from -15 to 15. The grid lines are visible, making it easier to plot precise points and shapes.
#### To enlarge and draw the circle:
1. Click on the "Click to enlarge graph" button.
2. Use the graphing tool provided to plot the center and mark the radius as calculated in steps (a) and (b).
### Additional Notes:
- **Time Remaining**: 00:13:34 (indicates the available time left to complete this exercise).
- This exercise must be done within the given timeframe.
By completing this exercise, students will gain practical experience in identifying the components of a circle equation and plotting circles on a coordinate plane.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education