Math Problem Statement

2π(2,200,000)(5)/360

Solution

The result of the expression 2π(2,200,000)(5)/3602\pi(2,200,000)(5)/360 is approximately 191,986.22191,986.22.

Would you like more details on this calculation or have any questions?

Here are 5 related questions for further exploration:

  1. What is the significance of 2πr2\pi r in circular motion?
  2. How would this result change if the angle were 10 degrees instead of 5?
  3. How does this formula relate to arc length in a circle?
  4. What units would be appropriate for this result in real-world contexts?
  5. How can this formula be used in engineering or physics problems?

Tip: In circular geometry, θ360×2πr\frac{\theta}{360} \times 2\pi r gives the arc length of a circle subtended by an angle θ\theta in degrees.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circular Motion
Trigonometry

Formulas

Arc Length Formula: (θ/360) × 2πr

Theorems

Circumference Theorem
Arc Length Theorem

Suitable Grade Level

Grades 10-12