Circumference and area of circles worksheet for Pre-Algebra
In Pre-Algebra this is the first meeting with pi: circumference and area from a radius or a diameter, with answers left in terms of pi. The thing to settle before anything else is which measurement you were given.
Also taught in Geometry, at its own level and with its own examples.
Not quite the one you need? Same words, different skill:
Putting the diameter into the area formula. Area squares the radius, so a diameter of 10 gives 25 pi, not 100 pi.
Also called circumference.
What you can put on this worksheet
Circumference
A circle has radius 16. Find its circumference.→ 32π
Area
A circle has radius 16. Find its area.→ 256π
Work backwards from the area or circumference
The area is 49π. Find the diameter. — a circle with diameter d, labeled d→ 14
Decimals with a calculator, forwards and back
A circle has a circumference of 116.9 ft. Find its radius to the nearest tenth.→ 18.6
Area to circumference, and back
A circle has a circumference of 14π. Find its area.→ 49π
When the area and circumference match
A circle’s area is 7 times its circumference (as numbers). Find its diameter.→ 28
Questions about these worksheets
Yes. Every circumference and area of circles sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the circumference and area of circles questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 6: circumference, area, work backwards from the area or circumference, decimals with a calculator, forwards and back, area to circumference, and back and when the area and circumference match. Tick as many as you want and set how many of each, or let it spread them evenly.
Mixing up the two circle formulas. Circumference uses the radius once, area uses it squared, and the quickest check is that an area answer should have a squared-looking number in it.