Arc length and sector area in radians

Sample Arc length and sector area in radians questions

A few of the 6 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 7
   A sector of a circle has radius 5 cm. The arc length of the sector is 8 cm. Find the angle of the sector, in radians. [2]
   Show the worked solution

   $s = r\theta \Rightarrow \theta = \dfrac{s}{r} = \dfrac{8}{5} = 1.6$

What are the common mistakes in Arc length and sector area in radians?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Calculates the area of the whole outer shape instead of subtracting the inner region to find the area of an annular/composite region.

  The shape $ABCD$ is only the region BETWEEN the two arcs, not the whole large sector $OCD$ - the small sector's area $\frac{1}{2}(6^2)(0.8)=14.4$

Quick answers about Arc length and sector area in radians

How many Arc length and sector area in radians practice questions are there?

There are 6 self-marking Additional Maths Maths questions on Arc length and sector area in radians, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Arc length and sector area in radians?

No. You can start practising Arc length and sector area in radians straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.