LEARNATHON

III

Competition for grade 6 to 10 students! Learn, solve tests and earn prizes!

Learn more### Theory:

**Curved line measurement:**

There are two methods to find the length of a curved line.

- Using a thread or a string
- Using a divider

Measuring a curved line using a thread

The length of a curved line can be found using a string or a thread.

- Draw a curved line \(AB\) on a sheet of paper.
- Place the thread along the curved line covering every bit.
- Now, mark the points where the curved line starts (\(A\)) and ends (\(B\)) on the thread.
- Then, keep the thread on the metre scale and measure the length between the thread marks.
- Thus, the length of a curved line is measured.

**Measuring a curved line using a divider**

- Draw a curved line \(AB\) on a sheet of paper.
- Using a ruler or a scale, separate the divider legs by \(0.5\ cm\) or \(1\ cm\).
- Place the divider on the curved line from one end and mark the other end.
- Move the divider along the line again and repeat this process.
- In this manner, cut the line into segments of equal lengths and keep a count.
- If there is any remaining part of the line, measure it using a scale.

Therefore,

$\mathit{Length}\mathit{of}\mathit{the}\mathit{line}=\; (\mathit{Number}\mathit{of}\mathit{segments}\times \mathit{Length}\mathit{of}\mathit{each}\mathit{segment})\; +\mathit{Length}\mathit{of}\mathit{the}\mathit{leftover}\mathit{part}$

Reference:

https://cdn.pixabay.com/photo/2012/04/18/21/21/dividers-37921_1280.png