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= [tex]\sqrt{(10-5)^ 2-(8-(-4))^ 2}[/tex]
=[tex]\sqrt{25+144}[/tex]
=[tex]\sqrt{169}=13[/tex]
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 =[tex]2\pi r[/tex]
= 2x3.14xr
= 13x3.14 units.
=40.82 units