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You have to determine the equation of the circle graphed in the picture
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Math Problems
Algebra 2
Find the radius or diameter of a circle
Full solution
Q.
You have to determine the equation of the circle graphed in the picture
Identify center and radius:
Identify the center
(
h
,
k
)
(h, k)
(
h
,
k
)
and radius
r
r
r
of the circle from the graph.
Write circle equation:
Write the equation of the circle using the formula
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
(x - h)^2 + (y - k)^2 = r^2
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
.
Substitute values:
Substitute the center and radius into the equation.
Simplify equation:
Simplify the equation if necessary.
More problems from Find the radius or diameter of a circle
Question
Write the equation in standard form for the circle
x
2
+
y
2
−
9
=
0
x^2+y^2-9=0
x
2
+
y
2
−
9
=
0
.
\newline
_____
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Posted 3 months ago
Question
Write the equation in standard form for the circle with radius
2
2
2
centered at the origin.
\newline
______
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Posted 3 months ago
Question
What is the center of the circle
x
2
+
y
2
−
4
=
0
x^2 + y^2 - 4 = 0
x
2
+
y
2
−
4
=
0
?
\newline
Simplify any fractions.
\newline
(_____,______)
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Posted 3 months ago
Question
What is the center of the circle
x
2
+
y
2
=
144
x^2 + y^2 = 144
x
2
+
y
2
=
144
?
?
?
\newline
Simplify any fractions.
\newline
(__,__)
\newline
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Posted 3 months ago
Question
What is the radius of the circle
x
2
+
y
2
=
36
x^2 + y^2 = 36
x
2
+
y
2
=
36
?
\newline
Simplify any fractions.
\newline
____
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Posted 3 months ago
Question
Write the equation in standard form for the circle with radius
11
11
11
centered at the origin. ______
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Posted 3 months ago
Question
Write the equation in standard form for the circle
x
2
+
y
2
+
6
x
−
1
=
0
x^2+y^2+6x-1= 0
x
2
+
y
2
+
6
x
−
1
=
0
.
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Posted 4 months ago
Question
Write the equation in standard form for the circle
x
2
+
y
2
−
4
x
+
7
=
0
x^2+y^2-4x+7= 0
x
2
+
y
2
−
4
x
+
7
=
0
.
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Posted 4 months ago
Question
Write the equation in standard form for the circle
x
2
+
y
2
−
16
=
0
x^2+y^2-16= 0
x
2
+
y
2
−
16
=
0
.
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Posted 4 months ago
Question
Write the equation in standard form for the circle
x
2
+
y
2
+
10
y
−
25
=
0
x^2+y^2+10y-25= 0
x
2
+
y
2
+
10
y
−
25
=
0
.
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Posted 4 months ago