Determine the distance between points (x1, y1) and point (x2, y2), and assign the result to point Distance. The calculation is:

Given:

The two points are and .

To find:

The distance between given points.

Solution:

Plot the two points and randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.

Now, the hypotenuse is the distance between the two points.

Using Pythagoras theorem,

Taking square root on both sides, we get

       [Distance is always positive]

Therefore, the distance between the two points is . It is also known as distance formula.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )