G.GPE.A.7 WORKSHEET
#1-
1. A circle is referred to
as a conic
.Ir
rS or.rE
PATTERSON Name:
7
section. What is meant by this?
ai fAe cplss gEez| aN'S
oF A cor-rB.
2. What is the definition of a circle?
Ar-e )qsrS EgvtDtsr*F-sf
cr.cuL
M
$
ro A F,kEO
PolnlT,
clLLE(} au€-
cE^r.STtr.E.
3. Derive the general equation of a circle if it has a center at C(h,k) with
radius of r.
L
O\+
.a2
b--G-
(e,,t \a +
(x- u,\"
a
.2
2,rsEY
c r
+ (n-'.)t= r
cE^rrcz ( n,U\ Q'4otet * f
4. Determine the center and radius of the given circles.
.) (r- t)' +(t+10)'?
b) 100 = (x+ 3)' * y'
c)
=
31
(x-e)'+(s,+2)' =l
d) 36 = (x+8)'
+(y+t)'
e) x2 + (l-t)' = 4
f) 0 = (r-1)'
*(y-t t)' - I
center
Center
Center
Center
Center
Center
1
-7, -lo)
(-3, O
1 1 ,-L1
(-8, -7)
1
10, \1
1 I , ll
)
Radius
=1
lc)
Radius
=
Radius
=(
Radius
=6
z
Radius
Radius
5. Determine the equation of the circle.
6
O
Eouation of Circle A:
x2'+ (5+q)t= f
Eouation of Circle B: -
(x+?)z+ ("J-r\'=7
Eouation of Circle A:-
fx-'3)
z
+ (U-'t\ zt 36
Equation of Circle B: .
(x+z)t+ (5+e\"36
G,GPE.A.I WORKSHEET #7
-
2
PATTERSON
d)
e)
nA
Eouation of Circle
A:
Eouation of Circle
B:
Eouation of Circle
6. Determine the equation of circle C.
a) Radius =7 cm
C (-3,6)
b)
.z
(x -e)z + taz ' 7?
Eouation of Circle B: i
Eouation of Circle B:
(x++\'+te2.36
/..a-s)'=16
z
Eouation of Circle A:
a
(x -z)a + ( u- l) = {f
(i -1,\'+ a" 16
x2+
A:
Radius=Lcm
C(5,-1)
(r
c) Radius = 2.5
(xr+) *(g-e)'=Y9 (x-s\trfU+r)L= I
d) Radius = 10
cm
C (3,-3)
e)
Radius=2cm
(x-g\zt(y+a\z=too
7.
(x
C(-8,0)
rs)zr*z'
x
Y
(r- z)' +(t+2)2 =4
a\' +(t-7)' :s
by (x+
t'
C
x'+(l-s)' =25
d) (r- +)' +(t+t)'
cm
C (0,-3)
2t (btg)z-
f) Radius =
J4 .,
6.eS
C (-9,1)
(r+ilzt(!-r\z=
Graph the following.
")
+a)L+ (r{tz)-s?
cl
--o
/e/