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A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?

Respuesta :

Answer:

5

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition.  Using the distance formula will give us the radius.

[tex]\sqrt{(x \text{ difference })^2+(y \text{ difference})^2[/tex]

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

[tex]\sqrt{4^2+3^2}[/tex]

[tex]\sqrt{16+9}[/tex]

[tex]\sqrt{25}[/tex]

[tex]5[/tex]