Find the centre and radius of each of the following circles : {(x + 5)^2} + {(y - 3)^2} = 20
Find the centre and radius of each of the following circles : {(x + 5)^2} + {(y - 3)^2} = 20

Answer:

The general form of the equation of a circle is  (x – h)2 + (y – k)2 = r2

(h, k) is the centre of the circle. r is the radius of the circle.

Comparing the given equation of circle with general form,

h = – 5 , k = 3, r2 = 20

Centre = ( – 5, 3)

Radius = √20 => 2√5 units.