Question

In circle o, a diameter has endpoints (-5,4) and (3,-6). What is the length of the diameter?

Answer 1

Answer:

12.8 units (3 s.f.)

Step-by-step explanation:

Distance between 2 points

$= \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} }$

Thus using the formula above,

length of diameter

$= \sqrt{ {(3 + 5)}^{2} + {( - 6 - 4)}^{2} } \\ = \sqrt{ {8}^{2} + {( - 10)}^{2} } \\ = \sqrt{164} \\ = 12.8 \: units \: (3 \: s.f.)$