Geometry Unit #7 (circles)
1) G.CO.1, G.GMD.1 I can define and identify the
basic parts of a circle. (1.9, 10.6, 10.7, 12.2)
PROOF OF UNDERSTANDING:
2) G.CO.1 I can calculate the area of a circle. (1.9,
10.7)
PROOF OF UNDERSTANDING:
4 cm
Label: circumference, diameter, radius, chord
AREA =
3) G.CO.1 I can calculate the circumference of a
circle. (1.9, 10.6)
PROOF OF UNDERSTANDING:
4) G.C.2 I can identify a central angle. (10.6)
PROOF OF UNDERSTANDING:
2.4 in
CIRCUMFERENCE =
One central angle name: _____________
5) G.CO.1 I can identify and name semicircles, major,
and minor arcs. (10.6)
PROOF OF UNDERSTANDING:
6) G.CO.1 I can use the arc addition postulate. (10.6)
PROOF OF UNDERSTANDING:
____________ + _____________ = ____________
Major arc: ___________________________________
Minor arc: ___________________________________
Semicircle: __________________________________
Geometry Unit #7 (circles)
7) G.C.5 I can calculate the length of an arc. (10.6)
PROOF OF UNDERSTANDING:
8) G.C.5 I can calculate the area of a sector. (10.7)
PROOF OF UNDERSTANDING:
Diameter =
If radius OE is 4.7 mm and central angle <DOE is 93°,
what is the area of sector DOE?
Radius =
Diameter =
Circumference =
Radius =
Length of QRS =
Area of circle =
Area of sector =
9) G.C.1 I can prove that all circles are similar by
comparing the ratios of diameter to circumference.
PROOF OF UNDERSTANDING:
circle B
circle A
10) I can define a radian in terms of π and in terms of
degrees.
PROOF OF UNDERSTANDING:
circle C
One radian = ________ degrees
diameter
circumference
circle A
8 cm
circle B
3 ft
circle C
11 mm
Two radians = ________ degrees
≈ 3.14 radians = ________ degrees
360° = _______ radians
circumference
÷ diameter
Geometry Unit #7 (circles)
11) G.C.2 I can use the properties of inscribed angles
to solve for arc length or vice versa. (12.3)
PROOF OF UNDERSTANDING:
12) G.C.2, G.C.4 I can draw a line that is tangent to a
circle and describe its relationship to the circles
radius. (12.1)
PROOF OF UNDERSTANDING:
*Inscribed <ABC is ½ the measure of intercepted arc
_________.
*Semicircle ACB is _________°.
*m<BAC is ________° and intercepted arc BC is
______°.
How is a line tangent to a circle related to the radius?
13) G.GPE.1 I can write an equation of a circle. (12.5)
PROOF OF UNDERSTANDING:
14) G.GPE.1 I can use the Pythagorean Theorem to
derive the equation of a circle given the center and
the radius.
PROOF OF UNDERSTANDING:
___________________________________________
___________________________________________
How does a² + b² = c² related to the equation for a
circle?
___________________________________________
Write the equation for the circle above:
___________________________________________
____________________________________________
___________________________________________
Geometry Unit #7 (circles)
15) G.C.2 I can explain how central and inscribed
angles are related to each other and the intercepted
arc. (12.3)
PROOF OF UNDERSTANDING:
16) I can calculate the area left over after a square is
cut from inside of a circle. (10.8)
PROOF OF UNDERSTANDING:
Area of the circle: __________
How are <BAC and <BOC related?
Area of the square: __________
What is the measure of major arc BAC if m<BAC =
50°?
Area left over after the square is removed: ________
17) I can calculate the area left over after the 3 circles
are removed from the rectangle. (10.8)
PROOF OF UNDERSTANDING:
18) G.C.5, G.CO.1 I can find the area of a segment.
(10.7)
height = 7
base = 21
Area of the rectangle: _______________
Area of the 3 circles: ______________
Area left over after circles are subtracted: _________
Given: <EOD = 90°; Radius OD = 9.1 feet
Prove: Area of segment ED is smaller than area of
triangle ODE
Statements
Reasons