Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Hello,

I would like help with the problem in the image attached. The answer to this problem has to be the value of the radius r in terms of miles rounded to two decimal places.

Thank you!

Matilda is planning a walk around the perimeter of Wedge Park, which is shaped like a circular wedge, as shown below. The walk around the park is 2.9 miles, and the park has an area of 0.25 square miles. If θ is less than 90 degrees, what is the value of the radius, r? (Round your answer to two decimal places.) **Input Field:** - A box for entering the radius, labeled with "mi" (miles). **Diagram Explanation:** The diagram shows a sector of a circle (a wedge) with: - Two straight lines representing the radii (labeled as \( r \)). - A curved line representing the arc. - An angle \( \theta \) at the circle's center. Students are asked to solve for the radius \( r \) given the constraints listed in the problem description.
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Transcribed Image Text:Matilda is planning a walk around the perimeter of Wedge Park, which is shaped like a circular wedge, as shown below. The walk around the park is 2.9 miles, and the park has an area of 0.25 square miles. If θ is less than 90 degrees, what is the value of the radius, r? (Round your answer to two decimal places.) **Input Field:** - A box for entering the radius, labeled with "mi" (miles). **Diagram Explanation:** The diagram shows a sector of a circle (a wedge) with: - Two straight lines representing the radii (labeled as \( r \)). - A curved line representing the arc. - An angle \( \theta \) at the circle's center. Students are asked to solve for the radius \( r \) given the constraints listed in the problem description.
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