Equations of Circle
Equal1on
oPaClrcle
Standard Form:
and
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Ct-cle Equattons .
1. Center: (5r 3), Radius: 2
2 .. Center: (-1, 7), Radius: 14
(xf- ~+
,-- .::
3. C.enter: (-2, -11), Diameter: 18
5. Center: {-4, O), Radius:
K7
6. Center: (15, -6), Radius:
1
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4. Center: (0, 9), Diameter: 32
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7.
8.. r.enter: {9, 10), Point on Cirde: (7, 4)
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"1 (9-1f+0D-l/)i. d,
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.
('~ ~?..~ 110
10. Center: (2, -6); Point on Cirde: (1, 10}
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r =-~ ao-==t
~@51-
~=~81
11. Center: (-2, O); Point on Circle: (-9, -4}
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l-1'1 + /(o
r.:::. ~to5
r; \
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12. eenter: c-1, 4)
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l,l\ +1) t "4i:. I
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C=-& ~
lo :::d f-: 'O
14. Center: (-8, -11)
6
' 8 \ {\v
A :::iP, 2
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f ,-c..,
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{1-v4L~-lbJ =12
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15. Center: (2., -2)
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4
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13. r.enter: (9, 12>
Orcumff,!ence: 17n..
'
Given the equation of the circle, Identify
the center and radius/diameter.
16. (x- 5)2 + (v-1)2 = 64
17. (x + 7)2 + (1; -2)2 = 324f'~
BackW<r<Js...
(Js ;D
Radius:, 'o'
Center: (:
Center:
~~~-=-
Diarnet
r =- l'o
Diameter: 'o..-:. .lQ
: ..ac:::--_
18. x2 + (v + 10)2 = 42.25
Center:
3- I&)
___
19. (:r - 6) 2 + (v + 11)2
= 58
Center: ~-+---=~
:;.___
= J'b
20. Challenge! Write the equation of a circle with diameter endpointsiof (-14, 1) and {-10, 9).
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