1.-c (4, 5) r=4
2. - c (3, -2) r=5
3. - c (0, -1) r=2
4. - c (3, 0) r=1
5. - c (-1, -2) r=3
6. - c (-3/4, -2) r=6
7. - c (-4, -2) r=2
8. - c (5, -1) r=1/2
9. - c (2, 1) r=√5
10. - c (-1/4, 7/5) r=7
1.-c (4, 5) r=4
(x-h)2+(y-k)2=r2
(x-4)2+ (y-5)2=42
(x-4)2+ (y-5)2=16
X2-8x+16+y2-10y+25=16
X2+y2-8x-10y +41-16=0
X2+y2-8x-10y -57=0
A=π x r2
P=π x d
A=π x 42
P=π x 8
A=50.26
P=25.13
2.- c (3, -2) r=5
(x-h)2+(y-k)2=r2
(x-3)2+(y+2)2=52
(x-3)2+(y+2)2=25
x2-6x+-9+y2+4y+4=25
x2+y2-6x+4y +13-25=0
x2+y2-6x+4y -12=0
3.- c (0, -1) r=2
(x-h)2+(y-k)2=r2
(x-0)2+(y+1)2=22
(x-0)2+(y+1)2=4
X2+y2+2y+1=4
X2+y2+2y+1-4=0
X2+y2+2y-3=0
4.- c (3, 0) r=1
(x-h)2+(y-k)2=r2
(x+3)2+(y-0)2=12
(x+3)2+(y-0)2=1
X2+6x+9+y2=1
X2+y2+6x+9-1=0
5.- c (-1, -2) r=3
(x-h)2+(y-k)2=r2
(x+1)2+(y+2)2=32
(x+1)2+(y+2)2=9
6.- c (-3/4, -2) r=6
(x-h)2+(y-k)2=r2
(x+3/4)2+(y+2)2=62
(x+3/4)2+(y+2)2=36
X2+6/4x+9/16+y2+4y+4=36
X2+y2+6/4x+4y+73/16-36/1=0
X2+y2+6/4x+4y+503/16=0
A=π x r2
P=π x d
A=π x 62
P=π x 12
A=113.09
P=37.6
7.- c (-4, -2) r=2
(x-h)2+(y-k)2=r2
(x+4)2+(y+2)2=22
(x+4)2+(y+2)2=4
X2+8x+16+y2+4y+4=4
X2+y2+8x+4y+20-4=0
X2+y2+8x+4y+16=0
8.- c (5, -1) r=1/2
(x-h)2+(y-k)2=r2
(x-5)2+(y+1)2=.52
(x-5)2+(y+1)2=.25
x2-10x+25+y2+2y+1=25
x2+y2-10x+2y+26-.25=0
x2+y2-10x+2y+25.75=0
A=π x r2
P=π x d
A=π x .52
P=π x 1
A=.78
P=3.14
9.- c (2, 1) r=√5
(x-h)2+(y-k)2=r2
2(x-2)2+(y-1)2=52
(x-2)2+(y-1)2=25
X2-2x+4+y2-2y+1=25
X2+y2-2x-2y+5-25=0
10.- c (-1/4, 7/5) r=7
(x-h)2+(y-k)2=r2
(x+1/4)2+(y-7/5)2=72
(x+1/4)2+(y-7/5)2=49
x2+2/4x+1/16+y2-14/5y+49/25=49
x2+y2+2/4x-14/5y+319/150-49/1=0
x2+y2+2/4x-14/5-7031/150=0
A=π x r2
P=π x d
A=π x 72
P=π x 14
A=153.93
P=43.98
11.-A (2,3) B (4,5) C (-1,4)
C (1.3 , 5.6) R=2.75
(x-h)2 + (y-k)2=r2
(x-1.3)2 + (y-5.6)2=2.752
(x-1.3)2 + (y-5.6)2=7.5
x2-2.6x+1.69+y2-11.2y+31.36=7.5
x2+y2-2.6x-11.2y+33.05-7.5=0
x2+y2-2.6x-11.2y+25.55=0
A=π x r2
P=π x d
A=π x 2.752
P=π x 5.5
A=23.75
P=17.27
12.- A (5,1) B (2,-1) C (3,-2)
(x-h)2 + (y-k)2=r2
(x-3.6)2 + (y+.3)2=1.752
(x-3.6)2 + (y+.3)2=3.06
x2-7.2x+12.96+y2+.6x+.9=3.06
x2+y2-7.2x+.6y+13.56-3.06=0
x2+y2-7.2x+.6y+7.44=0
A=π x r2
P=π x d
A=π x 1.752
P=π x 3.5
A=9.62
P=10.99
13.- A (-2,-3) B (-4,-5) C (1,-4)
(x-h)2 + (y-k)2=r2
(x+1.3)2 + (y+5.7)2=2.752
(x+1.3)2 + (y+5.7)2=7.5
x2+2.6x+1.69+y2+11.4y=7.5
x2+y2+2.6x+11.4y+35.87-7.5=0
x2+y2+2.6x+11.4y+28.37=0
A=π x r2
P=π x d
A=π x 2.752
P=π x 5.5
A=23.75
P=17.27
14.- A (2,3) B (4,5) C (-1,4)
(x-h)2 + (y-k)2=r2
(x-1.3)2 + (y-5.7)2=2.752
(x-1.3)2 + (y-5.7)2=7.5
x2-2.6x+1.69+y2-11.4y+32.49=7.5
x2+y2-2.6x-11.4y+34.18-7.5=0
x2+y2-2.6x-11.4y+26.68=0
A=π x r2
P=π x d
A=π x 2.752
P=π x 5.5
A=23.75
P=17.27
15.- A (0,0) B (-3,-1) C (5,3)
(x-h)2 + (y-k)2=r2
(x+3.5)2 + (y-9.5)2=72
(x+3.5)2 + (y-9.5)2=49
x2+7x+12.25+y2-19x+90.25=49
x2+y2+7x-19y+102.5-49=0
x2+y2+7x-19y+53.5=0
A=π x r2
P=π x d
A=π x 72
P=π x 14
A=153.93
P=43.98
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