### 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.

Answered: Image /qna-images/answer/67a2013d-948b-43ad-b892-1f281cc77dde.jpg

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

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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section: Chapter Questions

Problem 128CUR

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

Question

### 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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