Convert the angle in degrees to radians. Round to two decimal places. Use = 3.1416. 30° O A. 0.52 radians B. 0.50 radians O C. 0.51 radians O D. 0.49 radians
Convert the angle in degrees to radians. Round to two decimal places. Use = 3.1416. 30° O A. 0.52 radians B. 0.50 radians O C. 0.51 radians O D. 0.49 radians
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
![**Conversion of Angle from Degrees to Radians**
In trigonometry, converting degrees to radians is an important concept. Here’s a step-by-step guide to converting an angle in degrees to radians.
**Example Problem:**
Convert the angle in degrees to radians. Round your answer to two decimal places. Use π = 3.1416.
**Given Angle: 30°**
**Options:**
A. 0.52 radians
B. 0.50 radians
C. 0.51 radians
D. 0.49 radians
**Solution:**
To convert degrees to radians, you can use the following formula:
\[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \]
For 30°:
\[ \text{Radians} = 30 \times \frac{3.1416}{180} \]
**Calculation:**
\[ \text{Radians} = 30 \times 0.0174533 \approx 0.5236 \]
Rounded to two decimal places:
\[ \text{Radians} \approx 0.52 \]
**Therefore, the correct answer is:**
- **A. 0.52 radians**
This exercise helps in understanding the simple yet crucial method of converting angles from degrees to radians, an essential skill in mathematics, especially in fields involving geometry and trigonometry.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad727bdc-baba-4947-a2e3-e934fc451c32%2F3e24581d-5773-462f-be80-295f5f1e15de%2Fcst0an_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Conversion of Angle from Degrees to Radians**
In trigonometry, converting degrees to radians is an important concept. Here’s a step-by-step guide to converting an angle in degrees to radians.
**Example Problem:**
Convert the angle in degrees to radians. Round your answer to two decimal places. Use π = 3.1416.
**Given Angle: 30°**
**Options:**
A. 0.52 radians
B. 0.50 radians
C. 0.51 radians
D. 0.49 radians
**Solution:**
To convert degrees to radians, you can use the following formula:
\[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \]
For 30°:
\[ \text{Radians} = 30 \times \frac{3.1416}{180} \]
**Calculation:**
\[ \text{Radians} = 30 \times 0.0174533 \approx 0.5236 \]
Rounded to two decimal places:
\[ \text{Radians} \approx 0.52 \]
**Therefore, the correct answer is:**
- **A. 0.52 radians**
This exercise helps in understanding the simple yet crucial method of converting angles from degrees to radians, an essential skill in mathematics, especially in fields involving geometry and trigonometry.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning