Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Question on an Educational Website:
---
**Problem:**
What is the exact measure of an angle whose measure is \(10^\circ\) in radians?
---
**Options:**
- ( ) \(10\pi\)
- ( ) \(\frac{\pi}{18}\)
- ( ) \(\frac{\pi}{10}\)
- ( ) \(\frac{\pi}{9}\)
---
**Explanation:**
When converting degrees to radians, the conversion formula is:
\[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \]
So for \(10^\circ\):
\[ 10^\circ \times \frac{\pi}{180^\circ} = \frac{10\pi}{180} = \frac{\pi}{18} \]
Hence, the exact measure of an angle of \(10^\circ\) in radians is \(\frac{\pi}{18}\).
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3047b756-b2f4-4f66-ba10-7c0773ac07fd%2Fab76dbda-432f-4621-aa2c-ca690331c008%2Fpvrwt58_processed.png&w=3840&q=75)
Transcribed Image Text:### Question on an Educational Website:
---
**Problem:**
What is the exact measure of an angle whose measure is \(10^\circ\) in radians?
---
**Options:**
- ( ) \(10\pi\)
- ( ) \(\frac{\pi}{18}\)
- ( ) \(\frac{\pi}{10}\)
- ( ) \(\frac{\pi}{9}\)
---
**Explanation:**
When converting degrees to radians, the conversion formula is:
\[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \]
So for \(10^\circ\):
\[ 10^\circ \times \frac{\pi}{180^\circ} = \frac{10\pi}{180} = \frac{\pi}{18} \]
Hence, the exact measure of an angle of \(10^\circ\) in radians is \(\frac{\pi}{18}\).
---
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