Circle Problems: Area & Circumference Practice
1) The Grade 7 class is having a pizza party! Mr. Jones ordered a giant circular pizza with a diameter of 60 cm.
- What is the circumference of this delicious pizza? Show your work.
- If each student needs at least 75 cm2 of pizza, how many students can this one giant pizza feed? Show your work.
2) The school's circular garden has a radius of 3.5 meters. To keep the plants watered, the caretaker installs a sprinkler in the center of the garden.
- What is the area of the garden that the sprinkler needs to cover? Show your work.
- If the water from the sprinkler reaches a distance of 4 meters in all directions, will it cover the entire garden? Explain your reasoning.
3) A local park has a circular running track with a circumference of 400 meters.
- What is the diameter of this running track? Show your work.
- Sarah runs 5 laps around the track. How far does she run in total?
- If the park wants to plant grass in the center of the circular track, what is the area of the grassy section? Show your work.
4) Michael has a rare Canadian quarter with a diameter of 2.38 cm and a loonie with a diameter of 2.65 cm.
- What is the difference in circumference between the loonie and the quarter? Show your work.
- What is the difference in area between the top faces of the loonie and the quarter? Show your work.
5) A Ferris wheel at the local fair has a radius of 15 meters.
- How far does a person travel in one complete rotation of the Ferris wheel? Show your work.
- If the Ferris wheel makes 10 rotations, what is the total distance traveled by a person riding it?
- Imagine painting the entire circular face of the Ferris wheel (excluding the seats). What is the area that needs to be painted? Show your work.
6) A delicious donut has a diameter of 10 cm.
- What is the circumference of this donut?
- If you take a bite that removes a semicircle from the donut, what is the length of the remaining outer edge?
7) Mrs. Green wants to put a decorative stone border around her circular flower bed, which has a radius of 1.5 meters.
- What is the length of the stone border she will need?
- If each stone costs $2.50 per meter, what will be the total cost of the border?
8) An old vinyl record has a circumference of 94.2 cm.
- What is the diameter of the record?
- What is the area of the playing surface of the record?
9) A student is using a hula hoop with a diameter of 80 cm.
- How many meters does the hula hoop travel in one complete rotation?
- If the student spins the hula hoop 25 times, what is the total distance the edge of the hoop travels?
10) After a rain shower, a circular puddle forms with a radius of 0.75 meters.
- What is the area covered by the puddle?
- If the puddle evaporates at a rate of 0.1 m2 per hour, how long will it take for the entire puddle to disappear?
11) A circular target has a diameter of 60 cm. The bullseye in the center has a diameter of 10 cm.
- What is the area of the entire target?
- What is the area of the bullseye?
- What is the area of the target outside the bullseye?
12) The wheel of a bicycle has a diameter of 66 cm.
- What is the circumference of the bicycle wheel?
- How many rotations will the wheel make if the bicycle travels a distance of 100 meters? (Round to the nearest whole number).
13) A circular table has a diameter of 1.2 meters. A tablecloth hangs 20 cm over the edge all around.
- What is the diameter of the tablecloth?
- What is the area of the tablecloth?
14) A nickel has a radius of 1.06 cm, and a dime has a radius of 0.94 cm.
- What is the circumference of the nickel?
- What is the circumference of the dime?
- What is the difference in their circumferences?
15) A sprinkler in the center of a circular lawn with a radius of 8 meters rotates and waters a circular area with a radius of 5 meters.
- What is the area of the lawn that is watered by the sprinkler?
- What is the area of the lawn that is not watered by the sprinkler?
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Educational materials for Grade 7 mathematics.