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  • 16-07-2016
  • Mathematics
contestada

a circle is centered at the point (7,1) and passes through the point (8,7). what is the radius

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apologiabiology
apologiabiology apologiabiology
  • 16-07-2016
easy

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

we are given
center=(7,1)
 a point=(8,7)
find the distance
distance formula
D=[tex] \sqrt{(x2-x1)^2+(y2-y1)^2} [/tex]

so the distance between point and center is radius
D=[tex] \sqrt{(8-7)^2+(7-1)^2} [/tex]
D=[tex] \sqrt{(1)^2+(6)^2} [/tex]
D=[tex] \sqrt{1+36} [/tex]
D=√37 units


radius is √37 units
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