Find the arc length, x. 1.5 6. x = [ ? ]
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
![**Finding the Arc Length, x**
In this problem, you are asked to find the length of an arc, denoted as \( x \).
**Diagram Explanation:**
The diagram shows a sector of a circle centered at the origin of a coordinate plane. The circle's radius is labeled as \( 6 \), and the angle at the center of the circle is labeled \( 1.5 \) radians. The arc corresponding to this angle is labeled as \( x \).
**Calculation:**
To find the arc length \( x \), you can use the formula for the arc length of a circle:
\[
\text{Arc Length} = \text{Radius} \times \text{Angle in Radians}
\]
Substituting the given values:
\[
x = 6 \times 1.5
\]
Therefore, \( x = 9 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e6f454-aef3-4078-bf5c-8f7a3cacb5c5%2F7ef0e16e-6e47-4621-bf9e-5eff0d04a3b3%2Fi5smp2p_processed.png&w=3840&q=75)
Transcribed Image Text:**Finding the Arc Length, x**
In this problem, you are asked to find the length of an arc, denoted as \( x \).
**Diagram Explanation:**
The diagram shows a sector of a circle centered at the origin of a coordinate plane. The circle's radius is labeled as \( 6 \), and the angle at the center of the circle is labeled \( 1.5 \) radians. The arc corresponding to this angle is labeled as \( x \).
**Calculation:**
To find the arc length \( x \), you can use the formula for the arc length of a circle:
\[
\text{Arc Length} = \text{Radius} \times \text{Angle in Radians}
\]
Substituting the given values:
\[
x = 6 \times 1.5
\]
Therefore, \( x = 9 \).
Expert Solution
Step 1
The angle is 1.5 Rad and radius is 6 unit.
Step by step
Solved in 2 steps with 1 images
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