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Write the equation of circle with the following characteristics: Center at (5,8) and Radius of 5

Write the equation of circle with the following characteristics: Center at (5,8) and-example-1
User Loli
by
7.5k points

1 Answer

2 votes

(
x
+
5
)
2
+
(
y

1
)
2
=
26
Step-by-step explanation:
A circle of radius
r
, centered at
(
h
,
k
)
has the form
(
x

h
)
2
+
(
y

k
)
2
=
r
2
.
From the given information, we have
h
=

5
and
k
=
1
. To find
r
, we need only find the distance from the center
(
h
,
k
)
to a point on the circle. As
(
0
,
0
)
is such a point, applying the distance formula gives us
r
=

(

5

0
)
2
+
(
1

0
)
2
=

26
Thus the desired equation is
(
x

(

5
)
)
2
+
(
y

1
)
2
=

26
2
or, simplifying,
(
x
+
5
)
2
+
(
y

1
)
2
=
26
User Jim Redmond
by
8.1k points

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