Express the required calculation in terms of x and then round to the nearest tenth. How much fencing is required to enclose a circular garden whose radius is 23 meters? There are of fencing required. (Simplify your answer. Type an exact answer in terms of x.) of fencing required. There are approximately (Round to the nearest tenth as needed.)
Express the required calculation in terms of x and then round to the nearest tenth. How much fencing is required to enclose a circular garden whose radius is 23 meters? There are of fencing required. (Simplify your answer. Type an exact answer in terms of x.) of fencing required. There are approximately (Round to the nearest tenth as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Problem Statement:**
Express the required calculation in terms of π and then round to the nearest tenth.
**Question:**
How much fencing is required to enclose a circular garden whose radius is 23 meters?
---
**Solution Steps:**
1. **Exact Calculation (in terms of π):**
- To find the circumference of a circle, use the formula \( C = 2\pi r \).
- Here, the radius \( r = 23 \) meters.
- Therefore, the exact fencing required is:
\[
C = 2\pi \times 23
\]
\[
\text{There are } \boxed{\phantom{\text{ }}\phantom{\_\_}}\pi \text{ meters of fencing required.}
\]
*(Simplify your answer. Type an exact answer in terms of π.)*
2. **Approximate Calculation:**
- Approximately calculate the circumference by rounding the result to the nearest tenth.
\[
\text{There are approximately } \boxed{\phantom{\_\_}} \text{ meters of fencing required.}
\]
*(Round to the nearest tenth as needed.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58402a47-f1ff-47ea-9009-84135bb68162%2F7724db8a-ed07-4407-b0e9-b067b3141fb3%2Fa8191yf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Express the required calculation in terms of π and then round to the nearest tenth.
**Question:**
How much fencing is required to enclose a circular garden whose radius is 23 meters?
---
**Solution Steps:**
1. **Exact Calculation (in terms of π):**
- To find the circumference of a circle, use the formula \( C = 2\pi r \).
- Here, the radius \( r = 23 \) meters.
- Therefore, the exact fencing required is:
\[
C = 2\pi \times 23
\]
\[
\text{There are } \boxed{\phantom{\text{ }}\phantom{\_\_}}\pi \text{ meters of fencing required.}
\]
*(Simplify your answer. Type an exact answer in terms of π.)*
2. **Approximate Calculation:**
- Approximately calculate the circumference by rounding the result to the nearest tenth.
\[
\text{There are approximately } \boxed{\phantom{\_\_}} \text{ meters of fencing required.}
\]
*(Round to the nearest tenth as needed.)*
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