Basic Mathematics for College Students

21. How many square inches are in one square foot?


22. Find the area of the rectangle shown below in square
    inches.


23. Refer to the figure below, where is the center of the
    circle.
    a. Name each chord.

b. Name a diameter.

c. Name each radius.

24. Fill in the blank: If is the circumference of a circle
    and is the length of its diameter, then.

In Problems 25–27, when appropriate, give the exact answer and

an approximation to the nearest tenth.

25. Find the circumference of a circle with a diameter of
    21 feet.


26. Find the perimeter of the figure shown below. Assume
    that the arcs are semicircles.


27. HISTORY Stonehenge is a prehistoric monument in
    England, believed to have been built by the Druids.
    The site, 30 meters in diameter, consists of a circular
    arrangement of stones, as shown below. What area
    does the monument cover?

20 ft

12 ft

20 ft

D CD

C

O

28. See the figure below, where. Name
    the six corresponding parts of the congruent triangles.


29. Tell whether each pair of triangles are congruent. If
    they are, tell why.
    a.

b.

c.

d.

30. Refer to the figure below, in which.
    a. Find. b. Find.


31. Tell whether the triangles in each pair are similar.
    a. b. 29°

29°

43°

43°

43°

43°

AB

C

60 °

8 in.

6 in. 7 in.

50 °

ED

F

m(DE) m(E)

ABC  DEF

81° 81°

57° 61°

62°

57° 61°

62°

39° 53°

7 cm

39° 53°

7 cm

5 yd 5 yd

5 yd

5 yd 5 yd

5 yd

O  NO 

N  MN 

M  MO 

MN

OT

SR

MNO  RST

836 Chapter 9 Test

Y

S

R

X