How to find the center and radius of the circle (x+9)^2 + (y-5)^2 = 64?

Chanel Hunter

Chanel Hunter

Answered question

2023-02-16

How to find the center and radius of the circle ( x + 9 ) 2 + ( y - 5 ) 2 = 64 ?

Answer & Explanation

Melany Duarte

Melany Duarte

Beginner2023-02-17Added 7 answers

The equation for a circle's standard form is
a a ( x - a ) 2 + ( y - b ) 2 = r 2 a a ̲ ¯
where (a ,b) are the coordinates of the centre and r, the radius.
From the given equation we should see that
a = -9 , b = 5 and r = 8
hence centre = (-9 ,5) and radius = 8

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