How to Calculate Arc Length of a Circle Using Radius and Angle

Learn the formula to calculate the arc length of a circle using radius and central angle in radians or degrees.

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To calculate the arc length of a circle, you'll use the formula s = rθ, where s is the arc length, r is the radius of the circle, and θ (theta) is the central angle in radians. If the angle is given in degrees, first convert it to radians by multiplying by π/180. This formula helps you find the length of the curve that the arc makes, essentially telling you how long the piece of the circle's edge is.

FAQs & Answers

  1. What is the formula for arc length of a circle? The arc length s of a circle is calculated using the formula s = rθ, where r is the radius and θ is the central angle in radians.
  2. How do you convert degrees to radians for arc length calculations? To convert degrees to radians, multiply the angle in degrees by π/180 before using it in the arc length formula.
  3. Can arc length be calculated without the radius? No, the radius of the circle is essential to calculate the arc length, as the formula s = rθ depends on the radius.

Watch More

For more insights on circle-related calculations, check out our videos on calculating the circumference, area of a circle, and sector area formulas to deepen your understanding of circle geometry.

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