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Find the area of the shaded region. Use T 3.14. 24 m r=12 m 24 m ..... The area of the shaded region is approximately (Type a whole number or a decimal rounded to then th as needed.) m. m2.

Find the area of the shaded region. Use T 3.14. 24 m r=12 m 24 m ..... The area of the shaded region is approximately (Type a whole number or a decimal rounded to then th as needed.) m. m2.

Advanced Engineering Mathematics
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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**Problem Statement:** Find the area of the shaded region. Use π ≈ 3.14. **Diagram Explanation:** The diagram shows a square with side lengths of 24 meters. Inside the square, there is a circle with a radius of 12 meters. The shaded region is the area of the square that is outside the circle. **Steps for Solution:** 1. **Calculate the area of the square:** - Area of square = side × side = 24 m × 24 m = 576 m² 2. **Calculate the area of the circle:** - Area of circle = π × radius² = 3.14 × (12 m)² = 3.14 × 144 m² = 452.16 m² 3. **Calculate the area of the shaded region:** - Area of shaded region = Area of square - Area of circle - Area of shaded region = 576 m² - 452.16 m² = 123.84 m² **Answer Entry:** The area of the shaded region is approximately 123.84 m². *Type a whole number or a decimal rounded to the nearest tenth as needed.*
Transcribed Image Text:**Problem Statement:** Find the area of the shaded region. Use π ≈ 3.14. **Diagram Explanation:** The diagram shows a square with side lengths of 24 meters. Inside the square, there is a circle with a radius of 12 meters. The shaded region is the area of the square that is outside the circle. **Steps for Solution:** 1. **Calculate the area of the square:** - Area of square = side × side = 24 m × 24 m = 576 m² 2. **Calculate the area of the circle:** - Area of circle = π × radius² = 3.14 × (12 m)² = 3.14 × 144 m² = 452.16 m² 3. **Calculate the area of the shaded region:** - Area of shaded region = Area of square - Area of circle - Area of shaded region = 576 m² - 452.16 m² = 123.84 m² **Answer Entry:** The area of the shaded region is approximately 123.84 m². *Type a whole number or a decimal rounded to the nearest tenth as needed.*
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