Q. 2 B5.0( 4 Votes )

# Find the centre a

Given that we need to find the centre and radius of the given circle (x + 5)2 + (y + 1)2 = 9. We know that the standard equation of a circle with centre (a, b) and having radius ‘r’ is given by:

(x - a)2 + (y - b)2 = r2 - - - - - (1)

Let us convert given circle’s equation into the standard form.

(x + 5)2 + (y + 1)2 = 9

(x - ( - 5))2 + (y - ( - 1))2 = 32 - - - - (2)

Comparing (2) with (1), we get

Centre = ( - 5, - 1) and radius = 3

The centre and radius of the circle is ( - 5, - 1) and 3.

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