Respuesta :

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

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