Question

A sector of a circle of radius 16 mi has an area of 354 mi^2. Find the central angle of the sector. Round your answer to 2 decimal places in radians. 

          A sector of a circle of radius 16 mi has an area of 354 mi^2. Find the central angle of the sector. Round your answer to 2 decimal places in radians.

Added by Amanda J.

Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
A sector of a circle of radius 16 mi has an area of 354 mi^2. Find the central angle of the sector. Round your answer to 2 decimal places in radians.
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Ivan Kochetkov
Danielle Fairburn verified

Sri K and 97 other subject Precalculus educators are ready to help you.

Ask a new question
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs
*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.
*

Recommended Videos

-
a-sector-of-a-circle-of-radius-17-mi-has-an-area-of-411-mi-2-find-the-central-angle-of-the-sector-round-your-answer-to-2-decimal-places-46736

A sector of a circle of radius 17 mi has an area of 411 mi 2. Find the central angle of the sector. Round your answer to 2 decimal places.

Sri K.
a-sector-of-a-circle-of-radius-24-mi-has-an-area-of-288-mathrmmi2-find-the-central-angle-of-the-sect

A sector of a circle of radius 24 mi has an area of $288 \mathrm{mi}^{2}$. Find the central angle of the sector.

Precalculus: Mathematical for Calculus

Trigonometric Functions of Angles

Angle Measure

a-sector-of-a-circle-of-radius-24-mathrmmi-has-an-area-of-288-mathrmmi2-find-the-central-angle-of--2

A sector of a circle of radius 24 $\mathrm{mi}$ has an area of 288 $\mathrm{mi}^{2}$ . Find the central angle of the sector.

Algebra and Trigonometry

Trigonometric Functions: Right Triangle Approach

Angle Measure
*

Recommended Textbooks

-
Precalculus with Limits

Precalculus with Limits

Ron Larson 2nd Edition
achievement 1,461 solutions
Precalculus

Precalculus

Robert Blitzer 5th Edition
achievement 1,973 solutions
Precalculus

Precalculus

Jay Abramson 1st Edition
achievement 1,139 solutions
*

Transcript

-
00:01 Hi in the given problem we are given with the sector whose area is a and a is given as 411 meter square and the angle is theta which we don't know and we have to find that angle in radiance radius so we know that the area of sector area of sector and we are also given that the radius of the circle r is equal to 17 meters so area circle is again as three over theta or theta or two pi times pi r squared pi times 17 square because the radius is 17 now area is 4 -1 -1 so this means this is…
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade

Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever