Find the circumference of a circle whose diameter has endpoints at (2 , 1) and (4 , 5).

Find the circumference of a circle whose diameter has
endpoints at (2 , 1) and (4 ,5).

First, remember that the
formula for circumference is: C=2*pi*r, or C=pi*d, where d=diameter of
circle.

The distance between the given points can be
determined by using the formula:

Distance=Square root of
[(difference in x values)^2 + (difference in y
values)^2]

Substituting the given values, Distance= square
root of [(4-2)^2 + (5-1)^2]

Distance = square root of [2^2
+ 4^2]

Distance = square root of (4 +
16)

Distance = square root of
20

Distance = 2*square root of
5

now substituting into the circumference
formula,

Circumference = 2*square root of
5*pi;

to expand further, you have 2*2.236*3.143=14.0555
(all approximate values)