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 (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...
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![**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.
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