Name: _______________________
Circles –Finding Area and Circumference
1
Adrianna bought an 8foot leash for her dog.
She attached the leash to
a stake in the ground as
shown in the diagram.
Date: _______
Class: Pre-Algebra
4
5
6
A circular lawn with a
diameter of 20 meters will
be planted with grass seed.
How many square meters
are there in this lawn?
A
B
C
D
3
31.4 sq m
62.8 sq m
314.2 sq m
1256.6 sq m
The figure shows the circular
track at a school.
How many yards of fence
would be needed to enclose the
track?
A
B
C
D
7.85 yd
15.7 yd
78.5 yd
157 yd
440 ft
220 ft
110 ft
55 ft
The new city park will have a large center
area paved with brick. This area will be a
circle with a diameter of 100 feet. Find the
area of this circle to the nearest square foot.
A
B
C
D
Suppose she wants to find the total running room the dog
has when he is on the leash. Should she calculate the
circumference or area? Explain. Approximate the measure.
2
Ernest is putting a fence around a circular
vegetable garden. The garden has a diameter
of 70 feet. How much fence does Ernest need,
to the nearest foot?
A
B
C
D
Adrianna wants to find the distance the dog runs when it
runs one full circle with the leash fully extended. Should
she calculate the circumference or the area? Explain.
Approximate the measure.
Sheet # 08-03
34,415 sq ft
7853 sq ft
7854 sq ft
31,416 sq ft
Katya is decorating cylindrical vases by
gluing a piece of ribbon around them, as
shown below.
Each vase has a radius of 6
centimeters. Katya must
decorate 15 vases to use at a
banquet. What is the total
amount of ribbon, to the
nearest tenth of a centimeter,
that Katya will need to
decorate these vases?
A
B
C
D
282.7 cm
565.5 cm
1,131.0 cm
1,696.5 cm
7
At a local park, Sara can choose between two
circular paths to walk. One path has a diameter of
120 yards, and the other has a radius of 45 yards.
Estimate how much farther Sara can walk on the
longer path than the shorter path if she walks
around the path once?
Use the figures to answer parts A – F.
10 Write all answers in terms of  .
Figure A
Part A
Find the area of Figure A.
Answer: _________ yds
8
Figure B
Figure C
Part D
Find the distance around
Figure A.
The largest tree in the world by volume is in Sequoia
National Park. The diameter at the base is 36 feet. If a
person with outstretched arms can reach 6 feet, how
many people would it take to reach around the base of
the tree?
Part B
Find the area of Figure B.
Part E
Find the distance around
Figure B.
Answer: _________
9
A rotating sprinkler that sprays water at a radius of 11
feet is used to water a lawn. Find the area of the lawn
that is watered, to the nearest foot.
Part C
Find the area of Figure C.
Part F
Find the distance around
Figure C.
Answer: _________ square feet