6. True or False? (Write out the COMPLETE word that you choose for each answer.) TT A. A. The length of an arc with central angle in a unit circle is 4. B. If the radius of a circle doubles, then the arc length (associated with a fixed central angle) doubles. B. C. For a circle with radius r = 2.2 cm and a central angle measuring 25°, the area of the circular sector is 60.5 cm².
6. True or False? (Write out the COMPLETE word that you choose for each answer.) TT A. A. The length of an arc with central angle in a unit circle is 4. B. If the radius of a circle doubles, then the arc length (associated with a fixed central angle) doubles. B. C. For a circle with radius r = 2.2 cm and a central angle measuring 25°, the area of the circular sector is 60.5 cm².
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
I need answer for 6
![### Sector Area Calculation and True or False Questions
#### Problem 5
Find the area, to the nearest square unit, of the sector of a circle with the given radius and central angle for each problem below. Show your work.
Formula: \( A = \frac{1}{2} r^2 \theta \)
##### Part C
- \( r = 2.8 \) ft
- \( \theta = \frac{2\pi}{5} \)
\[ C. \ \boxed{________________} \]
##### Part D
- \( r = 20 \) m
- \( \theta = 220^\circ \)
\[ D. \ \boxed{________________} \]
---
#### Problem 6
True or False? (Write out the COMPLETE word that you choose for each answer.)
A. The length of an arc with central angle \( \frac{\pi}{4} \) in a unit circle is 4.
\[ A. \ \boxed{____________} \]
B. If the radius of a circle doubles, then the arc length (associated with a fixed central angle) doubles.
\[ B. \ \boxed{____________} \]
C. For a circle with radius \( r = 2.2 \) cm and a central angle measuring \( 25^\circ \), the area of the circular sector is 60.5 \( cm^2 \).
\[ C. \ \boxed{____________} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48d9bd7f-73f1-43d3-ab6b-78b35e559c7c%2Fd5f1dd2b-02ed-4114-96a8-f4fafcf1ede0%2Fyxzj4zl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Sector Area Calculation and True or False Questions
#### Problem 5
Find the area, to the nearest square unit, of the sector of a circle with the given radius and central angle for each problem below. Show your work.
Formula: \( A = \frac{1}{2} r^2 \theta \)
##### Part C
- \( r = 2.8 \) ft
- \( \theta = \frac{2\pi}{5} \)
\[ C. \ \boxed{________________} \]
##### Part D
- \( r = 20 \) m
- \( \theta = 220^\circ \)
\[ D. \ \boxed{________________} \]
---
#### Problem 6
True or False? (Write out the COMPLETE word that you choose for each answer.)
A. The length of an arc with central angle \( \frac{\pi}{4} \) in a unit circle is 4.
\[ A. \ \boxed{____________} \]
B. If the radius of a circle doubles, then the arc length (associated with a fixed central angle) doubles.
\[ B. \ \boxed{____________} \]
C. For a circle with radius \( r = 2.2 \) cm and a central angle measuring \( 25^\circ \), the area of the circular sector is 60.5 \( cm^2 \).
\[ C. \ \boxed{____________} \]
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