Circle Circuit Worksheet
Geometry Practice Grade 7–8
Circle Circuit Worksheet
Calculating Circumference and Area
Name:
Date:
Score: / 10
π
Formula Reference Use \( \pi \approx 3.14 \). Round to nearest hundredth.
Diameter / Radius \( d = 2r \) | \( r = \frac{d}{2} \)
Circumference \( C = 2\pi r = \pi d \)
Area \( A = \pi r^2 \)
I
Problems 1–5: Visual Models & Direct Computation
Determine whether circumference or area is requested.
1 Find the Circumference
6 cm
Calculate the circumference of the circle shown.
Show Work:
Circumference:
cm
2 Find the Area
10 m
Calculate the total area of the circle shown.
Show Work:
Area:
\(\text{m}^2\)
3 Find the Area
4.5 in
Calculate the total area of the circle shown.
Show Work:
Area:
\(\text{in}^2\)
4 Find the Circumference
14 ft
Calculate the circumference of the circle shown.
Show Work:
Circumference:
ft
5 Garden Pool Perimeter
Find Circumference
A circular garden pool has a radius of \( 8\text{ meters} \). What is the total circumference of the pool?
Show Work:
Circumference
m
Circle Circuit • Area & Circumference Page 1 of 2
Geometry Practice Part 2 • Problems 6–10
Applications & Multi-Step Analysis
Name:
6 Pizza Pan Surface
Find Area
A circular pizza baking pan has a diameter of \( 16\text{ inches} \). What is the total area of the baking pan?
Show Work:
Total Area
\(\text{in}^2\)
7 Bicycle Wheel Distance
Find Circumference
A bicycle wheel has a diameter of \( 26\text{ inches} \). How far does the bicycle travel forward in one complete rotation of the wheel?
Show Work:
Circumference
in
8 Trampoline Mat Area
Find Area
A circular backyard trampoline has a radius of \( 7\text{ feet} \). What is the total jumping surface area of the mat?
Show Work:
Surface Area
\(\text{ft}^2\)
9 Park Plaza Perimeter
Find Circumference
A city park has a circular plaza with a diameter of \( 22\text{ meters} \). What is the perimeter (circumference) around the outer edge of the plaza?
Show Work:
Circumference
m
10 Comprehensive Analysis: Railroad Crossing Sign
Multi-Step
A circular railroad crossing sign has a diameter of \( 24\text{ inches} \). Calculate each of the three key measurements for this sign:
a) Radius (\(r\)):
\( r = \)
in
b) Circumference (\(C\)):
\( C = \)
in
c) Area (\(A\)):
\( A = \)
\(\text{in}^2\)
Circle Circuit • Area & Circumference Page 2 of 2
Circle Circuit Form B Worksheet
Geometry Practice Form B Grade 7–8
Circle Circuit Worksheet
Calculating Circumference and Area • Alternate Form
Name:
Date:
Score: / 10
π
Formula Reference Use \( \pi \approx 3.14 \). Round answers to the nearest hundredth.
Diameter / Radius \( d = 2r \) | \( r = \frac{d}{2} \)
Circumference \( C = 2\pi r = \pi d \)
Area \( A = \pi r^2 \)
I
Problems 1–5: Visual Models & Direct Computation
Determine whether circumference or area is requested.
1 Find the Circumference
7 cm
Calculate the circumference of the circle shown.
Show Work:
Circumference:
cm
2 Find the Area
12 m
Calculate the total area of the circle shown.
Show Work:
Area:
\(\text{m}^2\)
3 Find the Area
5.5 in
Calculate the total area of the circle shown.
Show Work:
Area:
\(\text{in}^2\)
4 Find the Circumference
18 ft
Calculate the circumference of the circle shown.
Show Work:
Circumference:
ft
5 Walking Track Perimeter
Find Circumference
A circular park walking track has a radius of \( 9\text{ meters} \). What is the total circumference of the walking track?
Show Work:
Circumference
m
Circle Circuit • Form B • Area & Circumference Page 1 of 2
Geometry Practice Form B Part 2 • Problems 6–10
Applications & Multi-Step Analysis
Name:
6 Glass Tabletop Surface
Find Area
A circular glass tabletop has a diameter of \( 20\text{ inches} \). What is the total surface area of the tabletop?
Show Work:
Total Area
\(\text{in}^2\)
7 Unicycle Wheel Distance
Find Circumference
A unicycle has a wheel with a diameter of \( 24\text{ inches} \). How far does the unicycle travel forward during one complete rotation of the wheel?
Show Work:
Circumference
in
8 Pool Safety Cover Area
Find Area
A circular swimming pool winter cover has a radius of \( 8\text{ feet} \). What is the total surface area of the pool cover?
