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The diameter of a circle has endpoints whose coordinates are R(-2, 2) and S(4, 2). The radius of the circle has length _____.
A. 3
B.6
C.9.

Respuesta :

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A - 3

Using the coordinates of the diameter, it is possible to figure out the radius.

Using the y axis, you can determine that 4 and -2 total to be six apart, leaving the diameter to be six. Knowing that the radius is half of the diameter, you can easily split the diameter in half to get the radius of 3.

Hope this helps!

Answer:

A.3

Step-by-step explanation:

Hello

I think i can help you with this

step 1

to find the diameter  use the distance between two points formula

let

[tex]P_{1}=(x_{1},y_{1}),P_{2}=(x_{2},y_{2})[/tex]

the distance between P1 and P2 is

[tex]D=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}[/tex]

Now,replacing

P1(-2,2)  P2(4,2)

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

[tex]D=\sqrt{6^{2} +0^{2} } \\D=\sqrt{6^{2} } \\Diameter= 6[/tex]

step 2

with the diameter we can find the radius

[tex]D=2r[/tex]

isolating r

[tex]r=\frac{D}{2}[/tex]

and replacing

[tex]r=\frac{6}{2}[/tex]

[tex]r=3[/tex]

the radius of the circle is 3

A.3