onajereid onajereid
  • 17-09-2021
  • Mathematics
contestada

If a point B(2,5) lies on a circle with center at origin,then what will be the length of the
radius?

Respuesta :

jimrgrant1 jimrgrant1
  • 17-09-2021

Answer:

r = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

The distance from the centre to a 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 ) = (0, 0 ) and (x₂, y₂ ) = (2, 5 )

r = [tex]\sqrt{(2-0)^2+(5-0)^2}[/tex]

  = [tex]\sqrt{2^2+5^2}[/tex]

  = [tex]\sqrt{4+25}[/tex]

  = [tex]\sqrt{29}[/tex]

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