Question

Write in general form(x-3)² + y² = 36

Answer 1

Answer:

The standard form of the equation of a circle is.

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

(

x

−

a

)

2

+

(

y

−

b

)

2

=

r

2

a

a

∣

∣

−−−−−−−−−−−−−−−−−−−−−−−−−

where (a ,b) are the coordinates of the centre and r, the radius.

The equation here can be expressed in this form, that is

(

x

−

0

)

2

+

(

y

−

0

)

2

=

6

2

By comparison with the standard equation.

centre = (0 ,0) and radius = 6