2. Complete the following tables. Central Subtended Radius Subtended Central Radius of Circle A Angle of Circle A Arc of the Central of Circle Angle of Arc of the Central Circle Angle A Angle A 2n 8 in 270° 3 ст 3 1.05 radian 1.5 cm 5 radians 9 cm 6 in 8 in 8 in 5 in

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Exercise: Completing the Tables

#### Instruction:
Complete the following tables by filling in the missing values for Radius of Circle A, Central Angle of Circle A, and Subtended Arc of the Central Angle.

---

#### Table 1:
| Radius of Circle A | Central Angle of Circle A | Subtended Arc of the Central Angle |
|--------------------|---------------------------|------------------------------------|
| 8 in               | 270°                      |                                    |
|                    | 1.05 radians              | 1.5 cm                             |
| 6 in               |                           | 8 in                               |

---

#### Table 2:
| Radius of Circle A | Central Angle of Circle A | Subtended Arc of the Central Angle |
|--------------------|---------------------------|------------------------------------|
| 3 cm               | \(\frac{2\pi}{3}\)        |                                    |
|                    | 5 radians                 | 9 cm                               |
| 8 in               |                           | 5 in                               |

---

### Explanation:

The tables contain three columns that need to be completed:
1. **Radius of Circle A** - Represents the radius of a given circle.
2. **Central Angle of Circle A** - The angle subtended at the center of the circle.
3. **Subtended Arc of the Central Angle** - The length of the arc created by the central angle.

Fill in the missing values for each row based on the relationship between the radius, central angle, and subtended arc. Use appropriate units (inches or centimeters) as specified.
Transcribed Image Text:### Exercise: Completing the Tables #### Instruction: Complete the following tables by filling in the missing values for Radius of Circle A, Central Angle of Circle A, and Subtended Arc of the Central Angle. --- #### Table 1: | Radius of Circle A | Central Angle of Circle A | Subtended Arc of the Central Angle | |--------------------|---------------------------|------------------------------------| | 8 in | 270° | | | | 1.05 radians | 1.5 cm | | 6 in | | 8 in | --- #### Table 2: | Radius of Circle A | Central Angle of Circle A | Subtended Arc of the Central Angle | |--------------------|---------------------------|------------------------------------| | 3 cm | \(\frac{2\pi}{3}\) | | | | 5 radians | 9 cm | | 8 in | | 5 in | --- ### Explanation: The tables contain three columns that need to be completed: 1. **Radius of Circle A** - Represents the radius of a given circle. 2. **Central Angle of Circle A** - The angle subtended at the center of the circle. 3. **Subtended Arc of the Central Angle** - The length of the arc created by the central angle. Fill in the missing values for each row based on the relationship between the radius, central angle, and subtended arc. Use appropriate units (inches or centimeters) as specified.
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