How to Calculate the Length of an Arc Using Radius and Angle

Discover how to calculate the length of an arc using the radius and central angle. Master this essential geometric formula today!

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To find the size of an arc, use the formula Arc Length = Radius × Central Angle (in radians). For degrees, convert the angle to radians first by Multiply by π/180. This formula helps in determining the actual length of an arc, essential for various geometric and engineering applications.

FAQs & Answers

  1. What is the formula to find the length of an arc? The formula is Arc Length = Radius × Central Angle (in radians).
  2. How do you convert degrees to radians? Convert degrees to radians by multiplying the angle by π/180.
  3. What are the applications of arc length in real life? Arc length calculations are vital in fields like engineering, architecture, and robotics.
  4. How do you find the central angle if you know the arc length? To find the central angle, use the formula Central Angle = Arc Length / Radius.

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