Download Review Chapter 10

Geometry C
Name _________________
Review Chapter 10
1. Classify each figure as a convex polygon, concave polygon, or not a polygon.
2. What does it mean to be a regular polygon?
3. In a regular polygon, each interior angle equals 172.8o . How many sides does it have?
4. Find the sum of the measures of the interior angles in a dodecagon.
5. The sum of the measures of the interior angles of a regular polygon is 2160o. Find the number of sides.
6. The interior angle of a polygon is three times the measure of the exterior angle. What are the measures of
the interior angle, the exterior angle, and how many sides does it have?
Find the area of each figure
7.
10
8.
8
50
6
4
Area = ________
Area = _________
9.
10.
10
7
7
10
60
10
Area = ________
Area = _______
11.
12.
8
160
15
70
14
Area = ________
Area = ________
13.
14.
8
7
Area = _____
15
Area = ________
15. Find the area of a regular decagon if each side is 10 inches
16. Find the area of regular 50-gon if the perimeter is 200 in.
Find the area of the shaded region
17.
18.
8
12
10
19. Given the target to the right, determine the probability
of a dart landing in each region. The radius of the small
circle is 2 in. and the radius of each larger circle is 2 in.
larger than the previous one.
20.The Jones are planning on tiling their kitchen with tiles that are the shape of regular hexagons.
Each side of the tile is 4 in. The cost of a tile is $.89. The tile company charges $6.00 per sq. yard to
install tile. Determine how much it will cost to tile the kitchen.
18 ft
12 ft
9ft
8ft
7 ft
21. The Jones are also installing a sprinkler system in their yard. Their yard is 1.5 acres and a sprinkler will
water in a circular pattern up to a distance of 30 feet. How many sprinklers will they need? 1 acre =
4840 square yards.
22. An acre of land is 4840 sq. yards. In Lino Lakes the cost of land is about $50,000 an acre. Suppose you
own a lot that is 150 ft. by 120 ft. How much should you try to sell it for?
23. The radius of a regular dodecagon is 10. Find the area.
24. Find the area of the figure below
10
25. Classify and find the area of the figure with vertices
(-6,-1), (0,3), (5,2), (-1,-1)