Geometry
Chapter 5 Assignment 9 – Review Packet
Name _____________________________
1. Use the figures below to answer the following questions.
14 in
87o
12.5
in
12 in
a) Find the area of the regular heptagon.
e) Find the area of the circle.
f) Find the area of the shaded region of
the circle.
b) The heptagon is scaled by a factor of 4.
What is the area of the new heptagon?
g) The circle is scaled by a factor of 4.
What is the area of the new circle?
c) Find the perimeter of the regular heptagon.
h) Find the circumference of the circle.
d) The heptagon is scaled by a factor of 4.
What is the perimeter of the new heptagon?
)
i) Find the length of AB .
j) The circle is scaled by a factor of 4.
What is the circumference of the new circle?
2. Find the area of the following shaded regions:
a)
14 cm.
31o
Exact Answer (leave π):
Approximate Answer (round):
b)
18 ft.
Exact Answer (leave π):
Approximate Answer (round):
18 ft.
3. A hardware washer has a diameter of 5 cm. The hole has a circumference of 2π cm. What is the area
of the washer, represented by the shaded region below?
4.
a) Which is bigger: 3 slices of an
18” pizza or four slices of a 16”
pizza?
b) Which has more crust? 3 slices of 18” pizza or four slices of 16” pizza
1
1
inch by inch. Find an underestimate and an overestimate of
3
3
the “blob” by finding an inner and outer sum.
5. Below is a grid with squares that are
6. The area of a regular nonagon is about 1390.910 square centimeters. The length of its apothem is
about 20.606 centimeters. Find the length of each side of the nonagon. Show your calculations, and
include units.
7. Find the area of the shaded region.
a)
b)
9 cm
8 cm
6 cm