So you have a pretty BIG test coming up this Wednesday and Thursday……
Here is our plan for the week:
Monday: Review
Tuesday: Review
Wednesday: Pi Day
Thursday: Test
Friday: Start Chapter 11
So we have been working in chapter 10 for almost a MONTH now….so what is on the test?!?!?
10.1: Areas of Parallelograms and Triangles
10.2: Areas of Trapezoids and Kites
10.3: Areas of Regular Polygons using (30-60-90 or 45-45-90 triangles)
10.4: Perimeters and Areas of similar figures
10.5: Areas of Regular Polygons using trig
10.6: Circles and Arcs
10.7: Areas of Circles and Sectors
10.8: Geometric Probability
Day 1: First do you know all your formulas?
Figure
Rectangle
Square
Parallelogram
Trapezoid
Triangle
(if know height)
Triangle
(if don’t know
height)
Rhombus
Kite
Regular Polygon
Circle (area)
Sector of a Circle
Circumference
of a circle
Length of a Sector
Picture
Formula
Any important hints that help you
Day 1: Basic Areas
Find the area of each figure, if necessary round to the nearest tenth, or if possible leave your answers
in simplest radical form…(DON’T FORGET UNTIS)
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11) Find the area of an isosceles
12) Rhombus
triangle with legs 20ft long and a
base of 24ft long.
13) Rhombus
14) Kite
15) Kite
16)
17)
18) Find h, parallelogram
19) Shaded region
20) Shaded region
21)
Day 1: Area of Regular Polygons
Leave all areas in SIMPLEST RADCICAL FORM IF POSSIBLE, otherwise DO NOT ROUND UNTIL THE
LAST STEP!!
1) Find the area of an equilateral triangle with side length of 6ft. Keep in simplest radical form.
2) Find the area of a regular hexagon with side length of 4cm. Keep in simplest radical form.
3) Find the area of a regular octagon with apothem 9ft. Round to the nearest tenth.
4) Find the area of a regular hexagon with radius 8in. Keep in simplest radical form.
5) Find the area of a regular pentagon with perimeter 50cm. Round to the nearest tenth.
6) Find the area of an equilateral triangle with side length of 16ft. Keep your answer in simplest radical
form.
7) Find the area of a regular octagon with side length of 11.6 and apothem of 14cm. Round to the
nearest tenth.
8) Find the area of the regular pentagon to the nearest tenth.
9) Find the area of a regular octagon with apothem 6ft. Round to the nearest tenth.
10) Find the area of a regular decagon with radius 10m. Round to the nearest tenth.
11) Find the area of a regular pentagon with apothem 12in. Round to the nearest tenth.
Day 1: Similarity, Perimeter, and Area Ratios
To work forwards….if given the similarity or perimeter ratios
1) SIMPLIFY THE FRACTION!!
2) Square the simplified fraction to get their area ratios
3) Now, if necessary, set this proportion equal to the proportion of the area given and the
area you are trying to find
To work backwards…if given the area ratio
1) SIMPLIFY THE FRACTION!!
2) Take the square root to get the similarity/perimeter ratios
3) Use this ratio as need to find a missing side
1.) The two shapes are similar. Find the ratio of their perimeters and the ratio of their areas.
2.) The two shapes are similar. Find the ratio of their perimeters and the ratio of their areas.
3.) The two shapes are similar. Find the ratio of their perimeters and the ratio of their areas.
4.) The two shapes are similar. Find the ratio of their perimeters and the ratio of their areas.
5.) The figures are similar, and the area of the smaller figure is given. Find the area of the larger.
6.) The figures are similar, and the area of the smaller figure is given. Find the area of the larger.
7.) The figures are similar, and the area of the smaller figure is given. Find the area of the larger.
8.) Find the perimeter ratio of the following figures.
9.) Find the perimeter ratio of the following figures.
Day 2: Circles
LEAVE ALL ANSWERS IN TERMS OF PI, UNLESS OTHERWISE STATED
1.) Find the circumference and
area of circle 0.
2.) Find the length of arc PQ.
3.) Find the area of sector PNQ.
4.) If the circumference of a circle is
10ft, find the measure of its radius
5.) Find the area of the given segment
6.) Find the circumference and area of
to the nearest hundredth.
Circle O.
7.) Find the length of arc CA
8.) Find the area of sector CBA.
9.) Find the area of the shaded sector to
10.) Find the area of the given segment to
the nearest tenth.
the nearest tenth.
11.) Find the area of the shaded sector to
the nearest tenth.
12.) Find the area of the shaded sector
to the nearest tenth.
13.) Find the area of the shaded sector
to the nearest tenth.
14.) Find the area of the shaded sector
to the nearest tenth.
15.) Find the measure of each arc in circle C.
a) ED
b) AED
c) ABD
d) BD
16.) Find the length of each arc. Leave your answers in terms of pi.
a) AB
b) CDE
Day 2: Geometric Probability
1.) Find the probability that a point falls in the shaded region of the given figure. Round to the nearest
tenth of a percent.
2.) Find the probability that a point falls in the shaded region of the given figure. Round to the nearest
tenth of a percent.
3.) Find the probability that a point falls in the shaded region of the given figure. Round to the nearest
tenth of a percent. (The circle has diameter 10in.)
4.) Find the probability that a point falls in the shaded region of the given figure. (The big circle has
radius 6cm.)
5.) If a dart hits the board, what is the probability the dart will land in the given region.
a) x
b) y
c) z
6.) Find the probability that a point chosen at random from AK is on the given segment.
a) CF
b) GK
c) AK
7.)
8.) Find the probability of landing in the shaded region
a) regular octagon
b) square
c) circle