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What is the length of a radius of a circle whose center is at (1, -2) and whose one point lies on a circle at (-5, 6)?

Sagot :

Answer:

radius = 10

Step-by-step explanation:

The distance from the centre to the point on the circle is the radius r

Calculate r using the distance formula

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

with (x₁, y₁ ) = (1, - 2) and (x₂, y₂ ) = (- 5, 6)

r = [tex]\sqrt{(-5-1)^2+(6-(-2))^2}[/tex]

  = [tex]\sqrt{(-6)^2+(6+2)^2}[/tex]

  = [tex]\sqrt{36+8^2}[/tex]

   = [tex]\sqrt{36+64}[/tex]

   = [tex]\sqrt{100}[/tex]

   = 10

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