Question

find the centre and radius of each following circle (x -3)2 +( y - 1)2=9​

Answer 1

Step-by-step explanation:

It's already in standard form:

(

x

−

f

)

2

+

(

y

−

g

)

2

=

r

2

is the equation for a circle center

(

f

,

g

)

, radius

r

, with

f

=

g

=

0

and

r

=

1

.

Also the equation is asking for the set of all points such that the distance from the origin is

1

. The distance from the origin of point P

(

x

,

y

)

is

√

x

2

+

y

2

(by Pythagoras's Theorem applied to any triangle) OPN where O is the origin and N is the foot of the perpendicular from P to either axis).