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What is the exact measure of an angle whose measure is 10 in radians? O 10TT 18 10

What is the exact measure of an angle whose measure is 10 in radians? O 10TT 18 10

Calculus: Early Transcendentals
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 \(\frac{\pi}{18}\). ---
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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