laplebita1p5k4ee
laplebita1p5k4ee laplebita1p5k4ee
  • 19-04-2018
  • Mathematics
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Question: A circle has a center (3, 5) and the point (4, -3) on the circumference. 1. Find the radius of the circle. 2. Write an equation of the circle in standard form.

Respuesta :

calculista
calculista calculista
  • 19-04-2018
we know that
the equation of a circle in standard form is 
(x-h)²+(y-k)²=r²
where 
(h,K)----------> is the center----------> (3,5)

the radius is the distance between (3,5) and the point (4, -3) 

r=
√[(-3-5)²+(4-3)²]------------> r=√65 units
radius r=√65

(x-h)²+(y-k)²=r²--------> (x-3)²+(y-5)²=√65²

(x-3)²+(y-5)²=65

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