Question

A circle has a diameter with endpoints at (10,8) and (5,-4) what is the circumference of the circle

Answer 1

Answer:

The circumference of circle is 40.82 units.

Explanation:

The end points of diameter lie on circle. since the coordinates of end points of diameter may be evaluated using

d= $\sqrt{(10-5)^ 2-(8-(-4))^ 2}$

=$\sqrt{25+144}$

=$\sqrt{169}=13$

therefore d = 13 .

The formulae of circumference comprises the length of radius of circle, hence find the radius as half of diameter length r=d/2 = 13/2 = 6.5 ; circumference of circle =$2\pi r$

                                       = 2x3.14xr

                                       = 13x3.14 units.

                                        =40.82 units