This exercise involves the formula for the area of a circular sector. Find the area of a sector with central angle 67/7 rad in a circle of radius 18 m. (Round your answer to one decimal places.) m2 Need Help? Read It Talk to a Tutor Watch It Submit Answer
This exercise involves the formula for the area of a circular sector. Find the area of a sector with central angle 67/7 rad in a circle of radius 18 m. (Round your answer to one decimal places.) m2 Need Help? Read It Talk to a Tutor Watch It Submit Answer
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![**Exercise: Calculating the Area of a Circular Sector**
In this exercise, we will apply the formula to determine the area of a circular sector.
**Problem:**
Find the area of a sector with a central angle of \( \frac{6\pi}{7} \) radians in a circle with a radius of 18 meters. Provide your answer rounded to one decimal place.
**Input:**
- Central Angle: \( \frac{6\pi}{7} \) radians
- Radius: 18 meters
**Output Field:** (Answer in square meters): [ ____ m² ]
**Support Options:**
- **Need Help?**
- [Read It]
- [Watch It]
- [Talk to a Tutor]
[Submit Answer Button]
**Instructions:**
1. Use the sector area formula \( A = \frac{1}{2} \times r^2 \times \theta \) where:
- \( A \) is the area of the sector.
- \( r \) is the radius of the circle.
- \( \theta \) is the central angle in radians.
2. Plug in the given values:
- \( r = 18 \) meters
- \( \theta = \frac{6\pi}{7} \) radians
3. Calculate the area and round your answer to one decimal place.
**Example Calculation:**
Using the formula \( A = \frac{1}{2} \times 18^2 \times \frac{6\pi}{7} \), perform the calculation step-by-step to find the area.
Once you have your answer, enter it into the provided field and click the "Submit Answer" button. If you need additional help, click on the available support options.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e9c86ea-c32c-4a95-a4ff-a451c8ff7d72%2Fdee400a1-853d-4580-9445-6a7984386b63%2Fqf9bskb.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise: Calculating the Area of a Circular Sector**
In this exercise, we will apply the formula to determine the area of a circular sector.
**Problem:**
Find the area of a sector with a central angle of \( \frac{6\pi}{7} \) radians in a circle with a radius of 18 meters. Provide your answer rounded to one decimal place.
**Input:**
- Central Angle: \( \frac{6\pi}{7} \) radians
- Radius: 18 meters
**Output Field:** (Answer in square meters): [ ____ m² ]
**Support Options:**
- **Need Help?**
- [Read It]
- [Watch It]
- [Talk to a Tutor]
[Submit Answer Button]
**Instructions:**
1. Use the sector area formula \( A = \frac{1}{2} \times r^2 \times \theta \) where:
- \( A \) is the area of the sector.
- \( r \) is the radius of the circle.
- \( \theta \) is the central angle in radians.
2. Plug in the given values:
- \( r = 18 \) meters
- \( \theta = \frac{6\pi}{7} \) radians
3. Calculate the area and round your answer to one decimal place.
**Example Calculation:**
Using the formula \( A = \frac{1}{2} \times 18^2 \times \frac{6\pi}{7} \), perform the calculation step-by-step to find the area.
Once you have your answer, enter it into the provided field and click the "Submit Answer" button. If you need additional help, click on the available support options.
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