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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.

1 Answer

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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

User Rufo El Magufo
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