Answers stay in terms of pi rather than rounded, which is what a test wants. Arcs and sectors are the same formulas scaled by how much of the circle you took.
Find the sector area for a 90∘ sector of a circle with radius 6
90 out of 360 is a quarter of the circle.
The whole area is 36 pi.
The answer is 9π.
Where students go wrong
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.
Also called circumference, area of a circle, arc length or sector area.
What you can put on this worksheet
Circumference
Find the circumference→ 32π
Area
Find the area→ 256π
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.
Geometry is usually taken around 9th or 10th 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 2: circumference and area. 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.