Find 0 (in radians) for an angle having an arc length of 23 and a radius of 15. 0 = ? radians
Find 0 (in radians) for an angle having an arc length of 23 and a radius of 15. 0 = ? 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
answer in shown format (had asked same question before and was given wrong answer)
![**Topic: Calculating Angle in Radians**
**Objective:**
Learn how to find the angle \( \theta \) in radians using given arc length and radius.
**Problem Statement:**
Find \( \theta \) (in radians) for an angle having an arc length of 23 and a radius of 15.
**Solution Setup:**
The formula to find the angle in radians is:
\[
\theta = \frac{\text{Arc Length}}{\text{Radius}}
\]
Given:
- Arc Length = 23
- Radius = 15
**Equation:**
\[
\theta = \frac{23}{15} \text{ radians}
\]
**Conclusion:**
By substituting the values into the formula, \( \theta \) can be calculated as \(\frac{23}{15}\) radians.
This approach helps in determining the measure of an angle when the arc's length and the circle's radius are known.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f2c9438-5a89-4288-b691-8fe1dc913be9%2Fe7005ce7-2016-4c6e-88d8-908348663be7%2Fjk5cr1j_processed.png&w=3840&q=75)
Transcribed Image Text:**Topic: Calculating Angle in Radians**
**Objective:**
Learn how to find the angle \( \theta \) in radians using given arc length and radius.
**Problem Statement:**
Find \( \theta \) (in radians) for an angle having an arc length of 23 and a radius of 15.
**Solution Setup:**
The formula to find the angle in radians is:
\[
\theta = \frac{\text{Arc Length}}{\text{Radius}}
\]
Given:
- Arc Length = 23
- Radius = 15
**Equation:**
\[
\theta = \frac{23}{15} \text{ radians}
\]
**Conclusion:**
By substituting the values into the formula, \( \theta \) can be calculated as \(\frac{23}{15}\) radians.
This approach helps in determining the measure of an angle when the arc's length and the circle's radius are known.
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