How to find the center and radius of the circle with this equation: (x+6)^2+(y-4)^2=36?

Jaslyn Gordon

Jaslyn Gordon

Answered question

2023-02-18

How to find the center and radius of the circle with this equation: ( x + 6 ) 2 + ( y - 4 ) 2 = 36 ?

Answer & Explanation

Brady Mays

Brady Mays

Beginner2023-02-19Added 7 answers

The equation of a circle has the following standard form:
( x - a ) 2 + ( y - b ) 2 = r 2
where (a , b ) represents the centre and r the radius.
compare the standard form to ( x + 6 ) 2 + ( y - 4 ) 2 = 36
a = - 6 , b = 4 and r = 36 = 6
c e n t r e = ( - 6 , 4 ) and r a d i u s = 6

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