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
Please help with this question.
![**Problem:**
Find the length of an arc with angle \(90^\circ\) in a circle with radius \(2\) miles.
[Input Box] _____ mi
**Explanation:**
To find the arc length, use the formula:
\[
\text{Arc Length} = 2\pi r \left( \frac{\theta}{360} \right)
\]
Where \(r\) is the radius and \(\theta\) is the angle in degrees.
In this problem:
- Radius \(r = 2\) miles
- Angle \(\theta = 90^\circ\)
Substitute these values into the formula to calculate the arc length.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a328885-7641-4d6d-85af-435d99e02dcf%2Fc32d04ba-ac55-4cbb-a58b-517eab33fe94%2Fct8hce_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem:**
Find the length of an arc with angle \(90^\circ\) in a circle with radius \(2\) miles.
[Input Box] _____ mi
**Explanation:**
To find the arc length, use the formula:
\[
\text{Arc Length} = 2\pi r \left( \frac{\theta}{360} \right)
\]
Where \(r\) is the radius and \(\theta\) is the angle in degrees.
In this problem:
- Radius \(r = 2\) miles
- Angle \(\theta = 90^\circ\)
Substitute these values into the formula to calculate the arc length.
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