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jbutche8jbutche8 jbutche8jbutche8
  • 15-07-2016
  • Mathematics
Answered

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

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 15-07-2016

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=\(\sqrt{(x2-x1)^2+(y2-y1)^2}\)

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


radius is √37 units

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