The endpoints of the diameter of a circle are (-4,0) and (4,0) find the equation of the circle
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Answered by
0
Answer:
u at home and I don't know about your condition and I don't know about your condition and I
Answered by
0
Answer:
(
x
−
2
)
2
+
(
y
+
1
)
2
=
100
Step-by-step explanation:
∣
∣
∣
2
2
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−−−−−
where
(
a
,
b
)
are the coordinates of the centre and r is
the radius
to find the centre we require the
midpoint
of the
2 given points
centre
=
[
1
2
(
−
4
+
8
)
,
1
2
(
7
−
9
)
]
c
e
n
t
r
e
=
(
2
,
−
1
)
the radius is the distance from the centre to either of
the 2 given points
calculate the radius using the
distance formula
∙
x
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
let
(
x
1
,
y
1
)
=
(
2
,
−
1
)
and
(
x
2
,
y
2
)
=
(
−
4
,
7
)
r
=
√
(
−
4
−
2
)
2
+
(
7
+
1
)
2
=
√
36
+
64
=
10
⇒
(
x
−
2
)
2
+
(
y
−
(
−
1
)
)
2
=
10
2
⇒
(
x
−
2
)
2
+
(
y
+
1
)
2
=100
← equation of circle
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