Writing Equations And Graphing Circles Page 2
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1
2
3
4Homework
4 .3
W riting
E quations
&
G raphing
C ircles
Solutions
Answer
t he
f ollowing
q uestions
a s
s pecific
a s
p ossible.
!
!
!
1.
W hat
i s
t he
s tandard
f orm
o f
a
c ircle?
! − ℎ
+ ! − !
= !
2.
W hat
i s
t he
c enter
o f
t he
c ircle
( from
s tandard
f orm
e quation)?
( h,
k )
3.
W hat
i s
t he
r adius
o f
a
c ircle
( from
s tandard
f orm
e quation)?
r
4.
W hat
i s
t he
g eneral
f orm
o f
a
c ircle?
a ll
t erm
o n
l eft
=
0
5.
W hat
t he
s tandard
f orm
o f
a n
e quation
o f
a
c ircle
w ith
a
c enter
( 3,
-‐ 2)
a nd
a
r adius
o f
4 .
!
!
! − 3
+ ! + 2
= 16
6.
W hat
t he
s tandard
f orm
o f
a n
e quation
o f
a
c ircle
w ith
a
c enter
( 3,
-‐ 2)
a nd
a
d iameter
o f
1 0.
!
!
! + 4
+ !
= 25
7.
W hat
t he
s tandard
f orm
o f
a n
e quation
o f
a
c ircle
w ith
a
c enter
( 2,
-‐ 9)
a nd
a
r adius
o f
11.
!
!
! − 2
+ ! + 9
= 11
!
!
8.
F ind
t he
c oordinate
o f
t he
c enter
a nd
m easure
o f
t he
r adius
o f
! − 6
+ ! + 3
= 25.
center:
( 6,
-‐ 3),
r adius:
5
Find
t he
c enter,
r adius
a nd
e quation
o f
t he
c ircle
u sing
t he
g raph.
9.
!
!
center:
( 0,
0 ),
r adius:
1 2,
!
+ !
= 144
10.
!
!
center:
( 1,
-‐ 3),
r adius:
7 ,
( ! − 1)
+ (! + 3)
= 49
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