How to identify the center and radius of the circle (x+3)^2+(y-8)^2=16?

chururiakop

chururiakop

Answered question

2023-03-11

How to identify the center and radius of the circle ( x + 3 ) 2 + ( y - 8 ) 2 = 16 ?

Answer & Explanation

gelo1368m6

gelo1368m6

Beginner2023-03-12Added 5 answers

Given: ( x + 3 ) 2 + ( y - 8 ) 2 = 16
The common shape of a circle ( x - h ) 2 + ( y - k ) 2 = r 2 , where center is ( h , k ) and r = radius.
From the given equation ( x - - 3 ) 2 + ( y - 8 ) 2 = 16 to get a positive value, there must be a negative.
This means the center is ( - 3 , 8 )
Radius = 16 = 4

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