Answer:
10 units long
Explanation:
We need to find the distance from the origin (0, 0) to the point (-3, -4), that will be a radius of the circle.
Use the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]
Plug in the values from the 2 points we are given...
d = √[(-3 - 0)² + (-4 - 0)²]
d = √[(-3)² + (-4)²]
d = √[ 9 + 16 ]
d = √25
d = 5
The radius is 5, therefore the diameter is 10. (the diameter is always twice the length of the radius)