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STANDARD G.GPE.A.1
GEO/AII
a Derive the equation of a circle of given center and
radius using the Pythagorean Theorem. Find the center and radius
of a circle, given the equation of the circle.
• Finding the center and radius may involve completing the
square. The completing the square expectation for Geometry follows
Algebra I: leading coefficients will be 1 (after possible removal of
GCF) and the coefficients of the linear terms will be even.
• Completing the square may yield a fractional radius.
b Graph circles given their equation. For circles being
graphed, the center will be an ordered pair of integers and the
radius will be a positive integer. |
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WORKSHEETS |
Regents-Equations of Circles 1
GE/B
find center and radius |
16/4 |
TST
PDF
DOC |
Regents-Equations of Circles 2
GEO/AII/A2
completing the square |
19/1/3 |
TST
PDF
DOC |
Regents-Equations of Circles 3
GEO/GE/A/B
write equation, given center and radius |
1/10/1/3 |
TST
PDF
DOC |
Regents-Equations of Circles 4
GEO/GEO/GE/A2/A/B
write equation, given graph |
1/1/16/6/1/1 |
TST
PDF
DOC |
Regents-Equations of Circles 5
GEO/GE/A2/A
other |
2/7/4/1 |
TST
PDF
DOC |
Regents-Equations of Circles 6
GE/A2/B
graph |
10/1/1 |
TST
PDF
DOC |
Practice-Equations of Circles 1
find center and radius |
10 |
WS
PDF |
Practice-Equations of Circles 2
completing the square |
10 |
WS
PDF |
Practice-Equations of Circles 3
write equation, given center and radius |
5 |
WS
PDF |
Practice-Equations of Circles 4
write equation, given graph |
10 |
WS
PDF |
Practice-Equations of Circles 5
other, graph |
8 |
WS
PDF |
| Journal-Equations of Circles |
5 |
WS
PDF |