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Angles Construct

Final Jeopardy

Game Board

Circle

AreaAngles

and ArcsTurkey Movies

What is the interior angle of a 30-gon

QUESTION

168°

BOARD

What is the sum of interior angles of a 20-

gon.

QUESTION

3240°

BOARD

If the sum of the interior angles of a polygon

equals 900°, how many sides does the polygon

have?QUESTION

7

BOARD

How many sides does a polygon have if the sum of its interior angles is 2160°?

QUESTION

14

BOARD

Each interior angle of a regular polygon

measures 162°. How many sides does the

polygon have ?QUESTION

20

BOARD

Find the area of the shaded sector of circle O.  The radius is 6 inches and the

central angle is 100°. 

QUESTION

31.4 in2

BOARD

Find the area of the dark blue sectorshown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector)

measures 7.85 units.

QUESTION

0.3 in2

BOARD

Find the area of the shaded segmentof circle O to the nearest tenth of a square unit.  The radius of the circle is 6 units.  The perpendicular fromO to the chord joining point A to point B measures 4

units.QUESTION

12.4 in2

BOARD

A cathedral window is built in the shape of a semicircle.  If the window is to

contain three stained glass sections of equal size, what is the area of each

stained glass section?  Express answer to the nearest square foot.

QUESTION

3 ft2

BOARD

Find the area of a segment of a circle if the central angle of the segment is 60°

and the radius is 10.

QUESTION

9.1 ft2

BOARD

Given the labeled diagram with diameter AB, what is x?

QUESTION

44

BOARD

Given circle with center indicated what is x?.

QUESTION

55

BOARD

Alison is jogging on a circular track that has a radius of 140 feet.  She runs along

the track from point R to point N, a distance of 230 feet.  Find to the nearest

degrees of the arc. 

QUESTION

94

BOARD

In circle O, the radius is 4, and the length of minor arc  is 4.2 feet.  Find the

measure of the arc  to the nearest degree.

QUESTION

60

BOARD

When she is outdoors the dog, is tied to a stake in the center of a circular area of radius 24 feet. 

The angle between her dog house and the hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant to

the nearest foot.QUESTION

69

BOARD

What is the area?

QUESTION

8

3.9

109.2 units2

BOARD

What is the area?

QUESTION

10

259.8 units2

BOARD

The star of Ironman II?

QUESTION

Robert Downey Jr.

BOARD

How old is Justin Bieber?

QUESTION

19 years old

BOARD

What is the area of the circle that is not covered

by the polygon?QUESTION

20

217.44 units2

BOARD

What movie won for best picture this year?

QUESTION

Argo

BOARD

QUESTION

What is the area of the larger hexagon?

158.7

26.1

3523.5 in2

BOARD

There are two regular pentagons. The smaller one has an area of 12 in2 and the

larger one has sides 6 times as wide. What is the area of the larger pentagon?

QUESTION

432 in2

BOARD

How old is President Obama?

QUESTION

51 years old

BOARD

QUESTION

x

yz

What is x,y, and z on the regular hexagon?

BOARD

x = y = 60, z = 120

ANSWER

Find the area of the region where the congruent regular hexagons overlap.

QUESTION

28’

BOARD

2ft169.741398