Answer:
8.9 units
Step-by-step explanation:
- Since, the circle is centered at origin.
- So, coordinates of center are (0, 0)
- Point (-4, - 2) is located on the circle.
- So, distance between (0, 0) & (-4, - 2) will be the radius of the circle.
[tex] \therefore \: r = \sqrt{ {( - 4 - 0)}^{2} + {( - 2 - 0)}^{2} } \\ \\ \therefore \: r = \sqrt{ {( - 4)}^{2} + {( - 2)}^{2} } \\ \\ \therefore \: r= \sqrt{16 + 4} \\ \\ \therefore \: r= \sqrt{20} \\ \\ \therefore \:2 r= 2 \sqrt{20} \\ \\ \therefore \:2 r=8.94427191 \\ \\ 2r = 8.9 \: \\ \\ diameter \: = 8.9 \: units[/tex]
