# The circle x^2 + y^2 = 36 is translated 5 units left and 4 units up. Where is the center of the new circle after the translation?

Jan 23, 2016

centre = (- 5 , 4 )

#### Explanation:

${x}^{2} + {y}^{2} = 36$

is the equation of a circle : centre (0 , 0 ) and r = 6

When the circle is translated by 5 units left (- 5) and 4 up (+4 )

Then the centre ( 0 , 0 ) will move (0 - 5 , 0 + 4 ) = ( -5 , 4 )