1. 6 m 107 38 15 in 2.

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
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### Directions: Find the length of each bolded arc to the nearest hundredth.

#### Problem 1:
- **Given:**
  - Radius (r) = 6 meters
  - Central angle (θ) = 107 degrees

- **Diagram Description:**
  - A circle with a radius of 6 meters is shown.
  - A central angle measuring 107 degrees is highlighted, with the corresponding arc bolded.

#### Problem 2:
- **Given:**
  - Radius (r) = 15 inches
  - Central angle (θ) = 38 degrees

- **Diagram Description:**
  - A circle with a radius of 15 inches is shown.
  - A central angle measuring 38 degrees is highlighted, with the corresponding arc bolded.

For both problems, use the formula for arc length:
\[ \text{Arc Length} = 2\pi r \left(\frac{\theta}{360}\right) \]

### Additional notes:
- Ensure calculations are done accurately to match the requirement of rounding to the nearest hundredth.
- π (Pi) is approximately 3.14159.
Transcribed Image Text:### Directions: Find the length of each bolded arc to the nearest hundredth. #### Problem 1: - **Given:** - Radius (r) = 6 meters - Central angle (θ) = 107 degrees - **Diagram Description:** - A circle with a radius of 6 meters is shown. - A central angle measuring 107 degrees is highlighted, with the corresponding arc bolded. #### Problem 2: - **Given:** - Radius (r) = 15 inches - Central angle (θ) = 38 degrees - **Diagram Description:** - A circle with a radius of 15 inches is shown. - A central angle measuring 38 degrees is highlighted, with the corresponding arc bolded. For both problems, use the formula for arc length: \[ \text{Arc Length} = 2\pi r \left(\frac{\theta}{360}\right) \] ### Additional notes: - Ensure calculations are done accurately to match the requirement of rounding to the nearest hundredth. - π (Pi) is approximately 3.14159.
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