Area of Polygons
Triangles and Angles 2
Parallel & Triangles
Quads 1
Quads 2
Trig 1
Trig 2
Circles 1
Circles 2
100
Find the area of a regular hexagon with an apothem of 3" and a side measuring 6"
54
100
100
100
What is the radius of a circle with circumference 44inches?
7
100
x=3
100
A triangle has an opposite side of 23m and the hypotenuse is 32m. Find the given angle.
46 degrees
100
What is tan 65 degrees?
2.145
100
What is cos 15 degrees?
0.966
100
Determine is Segment AB is tangent to Circle C.
(Be careful to use each whole side; a, b, and c)
350.44>324, No
200
Find the area of a regular pentagon with an apothem measuring 6" and a side measuring 7"
105
200
AAS
200
200
Find BC.
17
200
x=2
200
Solve triangle ABC if A=44, C=55, b=175.
Use Law of Sines.
B=81, a= 123, c=145
200
A triangle has an opposite side of 12m and the adjacent is 15m. Find the given angle.
39 degrees
200
What is sin 50 degrees?
0.766
200
233 degrees
300
Find the area of a square with a side measuring 6 and an apothem measuring 5"
60
300
15
300
300
Find the sum of the measures of a regular 15-gon.
2340 degrees
300
What makes an isosceles trapezoid different from a trapezoid?
Two congruent sides.
300
Solve for triangle ABC if A=49, b=15, c=25.
Use Law of Cosines.
B=37, C=94, a=18.9
300
In triangle ABC if A=46 degrees C=83 degrees and c=21 what is the length of a?
Use Law of Sines.
15.2
300
Given the equation (x-h)2 + (y-k)2 = r2, what is the center of the circle?
(h, k)
300
FInd the m<JML
m<JML=90
400
Find an area of a octagon with a diameter of 6 and the perimeter is 16.
24
400
53
85
400
88
57
92
400
Find the area.
25.92 mi^2
400
Find the sum of the measures of the exterior angles of a 33-gon.
360 degrees
400
Solve for theta.
sin(theta)=0.174
theta=10^o
400
In triangle ABC find the length of a when b=5 c=7 and A=28 degrees.
Use Law of Cosines.
3.5
400
Name a Minor Arc.
Arc KL, Arc LM, Arc NM, Arc KN, or Arc KM
400
Determine is Segment AB is tangent to Circle C.
(Be careful to use each whole side; a, b, and c)
144=144, yes!
500
Find the area of a Decagon with a diameter of 12 and sides equal 4.
120
500
74
500
m=65
h=85
500
26.8 units
500
Find the area.
278.89ft^2
500
Solve for theta.
cos(theta)=0.906
theta=25^o
500
A triangle has the opposite side of 10m and the hypotenuse has x, the given angle is 34 degrees. What is the value of x?
17.88
500
Name a Central Angle.
Angle NPM or Angle MPL
500
323 degrees
600
Find the area of an equilateral triangle that has a perimeter of 12cm
4\/3 cm
600
148
600
False, m = 36
600
O(19,15)
600
x=58
74 degrees
600
Solve for theta.
tan(theta)=0
theta=0^o
600
A triangle has an adjacent side of x and the hypotenuse is 29, the given angle is 21 degrees. What is the value of x?
20.07
600
Name an inscribed angle.
Angle KLN or Angle NLM
600
Solve for X.
x=8
700
What is the area of a regular decagon with a side length of 6.7cm and an apothem length of 2.5cm?
83.75cm
700
38
700
a = 92
700
97 degrees
700
a=3
700
A triangle has an opposite side of 45m and the adjacent is 50m. Find the given angle.
42 degrees
700
A triangle has an adjacent side of 6m and the opposite has x, the given angle is 15 degrees. What is the value of x?
1.61
700
Name a chord.
Segment KL, Segment LM, or Segment NL (diameter).
700
Solve for x to the nearest hundredth.
(Be careful to use the FULL hypotenuse)
x=17.23
800
Jackson, Tristan and Tyler are doing an art project for school. They have to completely fill in a huge board with drawings on it. The drawing board is in the shape of a dodecagon. Before they start they want to figure out how much work it is going to be to fill in the whole board with drawings so they decide to calculate the area of it. First they measure one side of the drawing board and it measures 15.7cm. Then they measure the apothem of the drawing boards which they figure out is 25.8cm. What is the area of the drawing board that the boys have to draw on?
2430.36cm2
800
800
a=22
800
Find the measure of an interior angle of a regular 14-gon. Round to the nearest tenth if necessary.
154.3 degrees
800
Find the measure of one exterior angle of a regular 72-gon.
5 degrees
800
In triangle ABC if B=39 degrees a=6,and b=10 what is the measure of angle A?
Use Law of Sines
22.2 degrees
800
A triangle has an adjacent side of 19m and the hypotenuse is 45m. Find the given angle.
65 degrees
800
DOUBLE JEOPARDY!!!!
JK = 2x + 6, KL = 5x+3, JN = 2x\/10. Find x
x = 3
800
Solve for X.
x=17
900
A backyard hockey rink in the shape of a regular hexagon has an apothem of 12m and an area of 200m². What is the rinks side lengths?
5.56m
900
900
x=18
900
Square
900
Find the area.
957.44 mi^2
900
In triangle ABC a=8 b=7 and c=5. Find the measure of angle B.
Use Law of Cosines.
60 degrees
900
In triangle ABC if A=62 degrees B=41 degrees and c=16 what is the length of b?
Use Law of Sines
10.8
900
If the circumference of a circle is 36, find the radius, diameter, and area.
What is Radius=3.6 Diameter=6.2 Area=72
900
If m<PQS=6x+1 and m< PRS=34-5x, find Arc PS.
Arc PS = 38 degrees
1000
Mrs.Clarker wants to put a swimming pool in her backyard to enjoy during the summer with her kids. She wants it to have an area of 225m², side lengths of 3m and an apothem of 15m but she isn't sure what shape to tell the builders to make it. What shape is Mrs.Clarker's pool going to have to be?
10 sides - decagon
1000
x=40
1000
1000
BD=17.5cm
CD=20.5cm
Perimeter of triangle CDE = 38cm
1000
40 degrees
1000
Solve for theta.
sin(theta)=0.707
theta=45
1000
In triangle ABC a=2 b=8 and C=55 degrees. What is the length of c?
Use Law of Cosines.
7
1000
Write the equation of the circle with center (-2, 4) and diameter of 10.
(x+2)2 + (y - 4)2 = 25
1000
Solve for x to the nearest tenth.
(Be careful to use each FULL side; a, b, and c.)
x=6.8
1100
A craftsperson creates a pattern with tiles in the shape of a regular hexagon whose sides measure 20cm. Given that the apothem of each hexagonal tile is 8.7cm, how many tiles will the craftsperson have to install for that total area of the pattern to be 51,678cm²?
99 tiles
1100
1100
1100
Find AD.
10
1100
Squares are ___ regular polygons.
Always
1100
Solve ABC if B=95, C=34, a=88.
Use Law of Sines
A=51, b=112.8, c=63.3
1100
A triangle has the hypotenuse at 8cm and the opposite has an x, the given angle is 62 degrees. What is the value of x?
7.06
1100
Write the equation of the circle with diameter endpoints (-7, 1) and (1, 1).
(x + 3)2 + (y -1)2 = 16
1100
Find the measure of Arc EF.
Arc EF = 112 degrees
1200
What is the apothem length of a octagon with an area of 160cm² and a side length of 5cm?
8
1200
x=89
1200
12x=156
x=13
1200
Find the measure of each interior angle of a regular octagon.
135 degrees
1200
If the measure of one interior angle of a regular polygon is 166 2/3 degrees, then how many sides does the polygon have?
27 sides
1200
Solve for triangle XYZ if y=78, z=54 and X=100
Use Law of Cosines.
B=49, C=31, a=102.3
1200
A triangle has an adjacent side of 15m and the hypotenuse has x, the given angle is 57 degrees. What is the value of x?
27.54
1200
Determine the center and radius of the circle with this equation: x2 - 8x + y2 = 84
(4, 0)
r = 10
1200
If m<BCD=7x+10 and Arc BAD=19x-50, find Arc BAD.
216 degrees
1300
How many sides does a shape with an area of 432.096hm², an apothem length 12.86hm of and a side length 9.6hm of have?
7
1300
x=50
1300
Find the value of each pronumeral
m=
h=
1300
Find the missing length given the area. Round to the nearest tenth if necessary.
3.2km
1300
DOUBLE JEOPARDY
Given a rectangle with diagonals measuring 2x2 +14 and 3x2 + 5x and a side measuring 56\/2, would the rectangle be a square?
Yes,
If x = 2, the diagonals are 22" . Since they are bisected, each is 11. 112 + 112 = (11\/2)2
But if x = -7, the diagonals are 112. Since they are bisected, each is 56. 562 + 562 = (56\/2)2 making the diagonals perpendicular.
1300
A triangle has an opposite side of 12m and the adjacent is 15m. Find the length of the 3rd side.
19.21m
1300
A triangle has an adjacent side of x and the opposite is 89m, the given angle is 28 degrees. What is the value of x?
167.38
1300
Write the equation of a circle given its center is at (1,2) and it contains a point (0,6).
(x - 1)2 + (y - 2)2 = 17
1300
If Segment DE and Segment EF are tangent to circle G, find EF.
EF=51