Answer:
12.8 units (3 s.f.)
Step-by-step explanation:
Distance between 2 points
[tex] = \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]
Thus using the formula above,
length of diameter
[tex] = \sqrt{ {(3 + 5)}^{2} + {( - 6 - 4)}^{2} } \\ = \sqrt{ {8}^{2} + {( - 10)}^{2} } \\ = \sqrt{164} \\ = 12.8 \: units \: (3 \: s.f.)[/tex]
