Identify the center and radius of the circle with the following equation:
〖(x+3)〗^2+〖(y-1)〗^2=81
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Answer:
centre (3 ,-1) , r=9
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: