# Question: How Do You Find The Distance Of A Curved Line?

## What is curved line distance?

Curved distance on a map can be measured by a strip of paper, a thread, a opisometer.

Use a ruler to measure the distance between the two places.

If the line is quite curved, use a string to determine the distance, and then measure the string.

Find the scale for the map you’re going to use..

## What is used to measure distance?

To measure distances in a field (for example the length and width of a field), a chain or a measuring tape is used.

## Why can’t we measure the length of a curved line with a scale?

Since the scale is a straight and it is very hard to bend it for getting the correct measurement of the curve line. Thus we need much more flexible measuring thing to measure the curve line.

## How do you find the distance of a curve?

Now we will find the distance between two points A and B on a curve defined by a function f(x) on a closed interval [a,b]. To find this distance we should use the formula s =The integral, between the lower limit, a, and the upper limit, b, of the integrand √(1 +[f'(x)]^2) in respect to variable of integration, dx.

## What is used to measure a curved line?

An opisometer, also called a curvimeter, meilograph, or map measurer, is an instrument for measuring the lengths of arbitrary curved lines.

## How do you measure a curve?

Curvature is usually measured in radius of curvature. A small circle can be easily laid out by just using radius of curvature, But if the radius is large as a km or a mile, degree of curvature is more convenient for calculating and laying out the curve of large scale works like roads and railroads.

## How is the length of a curve defined?

The length of the curve defined by can be defined as the limit of the sum of line segment lengths for a regular partition of as the number of segments approaches infinity.

## How do you find the length of the parabolic curve?

y = 2x ds = 1 + (2x)2 dx = 1+4×2 dx. So the arc length of the parabola over the interval 0 ≤ x ≤ a is: a 1+4×2 dx. (you may have seen parts of this calculation in a recitation video).