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Identify the center and radius of the circle with the following equation:

〖(x+3)〗^2+〖(y-1)〗^2=81

Identify the center and radius of the circle with the following equation: 〖(x+3)〗^2+〖(y-example-1

1 Answer

7 votes

Answer:

centre (3 ,-1) , r=9

Step-by-step explanation:

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 center and r , the radius.

For the given equation: a = 3 , b = -1 and r = 9

hence centre = (3 ,-1) and radius = 9

Step-by-step explanation:

User MattyV
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