Respuesta :

CSMedrano

Answer:

[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

well we use the distance formula

[tex]\sqrt{(4^{2}+(-4)^2 )+(3^2+(-3)^2)}\\ =\sqrt{32+18} \\=\sqrt{50}\\ =5\sqrt{2}[/tex]

so that's the length of the radius

varshamittal029

The length of the radius of a circle whose center is at (3,4) and passes through (-3,-4) is given by 10 units.

What is Radius of Circle?

Radius of circle is the fixed distance between center and any point lies on the circumference of the circle.

Two distance between two points (a,b) and (c,d) is given by [tex]=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Here in the given problen we have to find the length of the radius of a circle whose center is at the point (3,4) and passes through the point (-3,-4).

So basically we have to find the length between the points (3,4) and (-3,-4).

The radius of circle is given by

[tex]=\sqrt{(-3-3)^2+(-4-4)^2}[/tex]

[tex]=\sqrt{(-6)^2+(-8)^2}[/tex]

[tex]=\sqrt{36+64}=\sqrt{100}=10[/tex]

Hence the length of the radius of the circle is given by 10 units.

Learn more about Radius of Circle here -

https://brainly.com/question/12908707

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