Name: ____________________________ Class: _________________ Date: ______________
Unit 11 Review
Special Right Triangles
Fill in the missing side lengths for each special right triangle below.
1.
2.
45o
60o
x
x
45o
30o
Trig Functions
Complete the trig ratios for the triangle given. Do not solve.
Hypotenuse
Opposite
x
Adjacent
3. sin x =
4. cos x =
5. tan x =
Formula Chart
These will be the formulas that you are given on your test. You will not have the trig functions,
special right triangles, or proportions to find sector area and arc length. You need to know the
formulas for area of a parallelogram, triangle, circle, and trapezoid.
Regular Polygon
Rhombus or Kite
Equilateral Triangle
A = ½aP
A = ½d1d2
s2 3
A
4
To find the EXACT area or perimeter, leave Pi and all radicals in your answer. Do not round off any
decimals.
Triangles
6. Find the area of the shaded region.
7. If one bag of fertilizer will cover 500 square
All regions are equilateral triangles.
feet, how many bags would be needed to cover
the shaded region in question 7?
100 ft
Rectangles & Parallelograms
8. Find the exact area.
9. Find the exact area.
12 cm
.
30o
10. The area of a rectangle is 98 square meters. If the length is twice the width, what is the length of
the rectangle?
Trapezoids
Find the area of each trapezoid below.
11.
12.
13. The area of a trapezoid is 180 square feet. If the height is 10 feet, and one of the bases is 15 feet,
how long is the other base?
Rhombus and Kites
Find the area of each figure below.
8 cm
14.
15.
16. The area of a rhombus is 120 square meters.
17. If RSTW is a rhombus, what is the area of
If one of the diagonals is 10 m,
triangle RXS?
how long is the side?
10
Regular Polygons
18. Find the area of the pentagon below.
19. Find the EXACT area of the hexagon below.
Round your answer to the nearest tenth.
4 mi
16 m
20. The perimeter of a hexagon is 30 cm. What is the exact area?
Circles
Find the arc length and area of the sector of each circle below. Leave all answers as EXACT.
21.
22.
40 mm
36o
23. What is the area of the circle
in question 23?
24 yd
135o
24. If the minute hand of a clock is 5 in. long,
What is the area of the sector formed by
the hands at exactly 8 pm?
Find the shaded area in each figure below.
25.
26.
27.
28.
Find the perimeter of each figure below.
29.
30.
31.
32.
15 m
150°
120°
Length of the minor arc = ?
The length of the minor arc is 25
Cicumference = ?
33. A dartboard is given below. If you hit the board, what is the probability it will be in the yellow
square (the inside square with side = 6)? The blue shaded area (the area inside the outside square with
side = 18 but not inside the circle or the inner square)?
For 34-36, find the probability that a randomly chosen point in the figure lies in the shaded region.
34.
36.
35.