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Shaun Hamman · Answer 1 · 2018-01-16T03:02:56+0000

we know the circle has its center at the origin, 0,0, and the point -4,-2 is on the circle, is just the distance from the center to a point on it, thus

$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ 0}})\quad % (c,d) &({{ -4}}\quad ,&{{ -2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ r=√((-4-0)^2+(-2-0)^2)\implies r=√((-4)^2+(-2)^2) \\\\\\ r=√(16+4)\implies r=√(20)\implies r=√(4\cdot 5)\implies r=√(2^2\cdot 5) \\\\\\ r=2√(5)$

Br Araujo · Answer 2 · 2018-01-18T22:11:08+0000

Answer:

Diameter=2√(20)

Explanation:

In order to solve this you first have to calculate the radius, which is the distance from the center to any point in the circumference, to calculate this we do a trangle rectangle:

c^2= a^2+b^2

c^2=(0-(-4))^2+(0-(-2)^2

c^2=20

c=
√(20)

So the diameter is two ratios put togheter, so it would be 2r=
2√(20)

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