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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 41E
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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.
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