Find the center and radius of the circle whose equation is x^2 – 10x + y^2 – 4y + 6 = 0

Radarfoto67

Radarfoto67

Answered question

2022-09-03

Find the center and radius of the circle whose equation is
x 2 10 x + y 2 4 y + 6 = 0

Answer & Explanation

Vicente Macias

Vicente Macias

Beginner2022-09-04Added 15 answers

Given equation x 2 10 x + y 2 4 y + 6 x 2 2 5 x + 25 + y 2 2 2 y + 4 25 4 + 6 = 0 ( x 5 ) 2 + ( y 2 ) 2 23 = 0 ( x 5 ) 2 + ( y 2 ) 2 = 23 ( x 5 ) 2 + ( y 2 ) 2 = ( 23 ) 2
it is in the form of ( x h ) 2 + ( y k ) 2 = γ 2 Center  = ( h , k ) = ( 5 , 2 ) radius = γ = 23 = 4.795

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