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Geometry
Write equations of circles in standard form using properties
In circle
B
B
B
with
m
∠
A
D
C
=
2
1
∘
m\angle ADC=21^\circ
m
∠
A
D
C
=
2
1
∘
, find the measure of minor \overarc{AC}.
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Identify the part of the circle given the equation. Answer in terms of pi.
\newline
9
9
9
.
(
x
+
7
)
2
+
(
y
+
4
)
2
=
16
(x+7)^{2}+(y+4)^{2}=16
(
x
+
7
)
2
+
(
y
+
4
)
2
=
16
\newline
Center : (
□
\square
□
\newline
□
\square
□
\newline
circumference :
□
\square
□
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Write the equation in standard form for the circle with radius
11
11
11
centered at the origin.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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is a point on the
x
x
x
-axis. If
(
−
3
,
5
)
(-3,5)
(
−
3
,
5
)
was the center of the circle with radius
13
13
13
units, find all
t
t
t
possible coordinates for
P
P
P
. (Try this problem algebraically without formally graphing)
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The circle shown with radius
4
4
4
has a sector with a central angle of
π
\pi
π
radians. What is the area of the sector?
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In circle
Q
\mathrm{Q}
Q
with
m
∠
P
Q
R
=
12
0
∘
\mathrm{m} \angle P Q R=120^{\circ}
m
∠
PQR
=
12
0
∘
, find the measure of minor \operatorname{arc} \overparen{P R} .
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Write the equation in standard form for the circle with radius
11
11
11
centered at the origin. ______
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