Arc Length, Sector Area and Radian Measure practice questions

Secondary 3 topics from the O-Level Mathematics 4052 syllabus. Every question below has a full worked solution.

When a student gets a question wrong in Math Amigo, it does not show the answer straight away. It reads the working, identifies the step that went wrong, and asks a question that points at the correction. The worked solution is there once a genuine attempt has been made.

Practise arc length, sector area and radian measure free

What this topic covers

Worked examples

Example 1

Using your calculator in radian mode, find the value of tan⁡2π9\tan \dfrac{2\pi}{9}, correct to 3 significant figures.
Show the worked solution
  • $\text{Set calculator to radian mode.}$
  • $\tan\, \dfrac{2\pi}{9} = 0.839 \text{ (to 3 s.f.)}$

Answer: 0.8390.839

Questions parents ask

Is it really free?

The free plan is permanent and does not ask for a card. It has daily limits on the AI feedback, and the paid plans lift them.

Which syllabus does this follow?

O-Level Mathematics (4052), for Singapore secondary students. Math Amigo covers Secondary 1 to 4, both O-Level Mathematics and Additional Mathematics.

Will it just show my child the answer?

No. On a wrong answer it looks at the working, points to the step that went wrong, and asks a question that helps the student find the correction. The full worked solution is available after a genuine attempt.

Other Secondary 3 topics