GCSE Maths (Edexcel)

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Arc Length

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Geometry and Measures Mensuration and Calculation

Arc Length

3:14 Circumference of a Circle
Spec G18
Previous Volume of a Pyramid Next Similarity & Perimeter
  • The length of an arc can be calculated using the angle at the center of a sector
  • The formula for arc length is theta/360 * circumference of the whole circle
  • The circumference of a circle can be calculated using the formula C = 2��r
  • The formula for arc length can be written as theta/360 * 2��r
  • Theta represents the angle at the center of the circle spanned by the sector
  • R represents the radius of the circle
  • The arc length is the portion of the circumference contained within the sector
  • The formula for arc length is important to know for exams
  • To calculate the arc length, substitute the values of theta and r into the formula
  • An example is given to practice using the formula
  • The arc length of the given sector is calculated to be 16.8 centimeters to three significant figures.

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