MathsYears 12–13Trigonometry

Radian measure and arc length

Convert between degrees and radians; calculate arc length and sector area using radians

What you'll learn

  1. 1

    A radian is a way of measuring angles using the radius of a circle. Imagine wrapping the radius around the edge of the circle — that arc length is 1 radian.

  2. 2

    What is 1 radian equal to?

  3. 3

    Drag the angle to show 1 radian on this circle. The arc length should equal the radius.

  4. 4

    Let's find the arc length when the radius is 5 cm and the angle is 2 radians.

  5. 5

    What is the arc length if radius = 3 cm and angle = 4 radians?

  6. 6

    Set the radius to 6 cm and the angle to 1.5 radians. What is the arc length?

  7. 7

    An arc length of 8 cm with a radius of 2 cm means the angle is how many radians?

Practise Radian measure and arc length with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.