7th Grade Circumference and Area of Circles Worksheet (PDF)
This circles practice worksheet for 7th Grade covers circumference and area of circles (Common Core 7.G.B.4), with a free PDF to print.
These 20 problems practice the circumference and area of circles, the meaning of pi, radius and diameter, and semicircles and composite figures (Common Core 7.G.B.4). They start with the basic skill, move to different kinds of numbers and multistep work, and end with six word problems set in everyday situations such as shopping, sports, and travel.
Show every step of your work, and use the answer key only after you have tried each problem.
Grade 7 · Common Core State Standards: 7.G.B.4
Circles practice worksheet: exercises 1 to 10
Exercise 1 – Circumference from diameter
Find the circumference of a circle with a diameter of 10 in. Use \(\pi\approx 3.14\).
Exercise 2 – Circumference from radius
Exercise 3 – Area from radius
Find the area of a circle with a radius of 5 cm. Use \(\pi\approx 3.14\).
Exercise 4 – Area from diameter
Exercise 5 – Radius from circumference
Exercise 6 – Radius from area
Exercise 7 – Pi as 22/7
Exercise 8 – Semicircle perimeter
Find the perimeter of the semicircle. Use \(\pi\approx 3.14\).
Exercise 9 – Quarter circle
Exercise 10 – In terms of pi
Exercises 11 and up
Exercise 11 – Bike wheel
Exercise 12 – Two pizzas
Exercise 13 – Composite figure
Find the area of the figure: a 10-ft by 6-ft rectangle with a semicircle (diameter 6 ft) attached to one end. Use \(\pi\approx 3.14\).
Exercise 14 – Ring
A washer has an outer radius of 8 mm and an inner radius of 5 mm. Find the area of the metal. Use \(\pi\approx 3.14\).
Exercise 15 – Garden fence
A circular garden has a radius of 6 ft. Fencing costs $3.50 per foot. Find the circumference and the cost. Use \(\pi\approx 3.14\).
Exercise 16 – Round table
Exercise 17 – Running track
A circular track has a diameter of 100 yd. Mei runs 3 laps. How far does she run? Use \(\pi\approx 3.14\).
Exercise 18 – Circle in a square
The largest circle is cut from a square sheet of metal 10 in on each side. Find the area of the metal left over. Use \(\pi\approx 3.14\).
Exercise 19 – Pie crust
Exercise 20 – Clock hand
The minute hand of a wall clock is 6 in long. How far does its tip travel in one hour? Use \(\pi\approx 3.14\).
Key facts behind this circles practice worksheet
- Diameter \(d = 2r\); radius is half the diameter.
- Circumference \(C = \pi d = 2\pi r\).
- Area \(A = \pi r^2\) (square the radius first).
- \(\pi\) is about \(3.14\) or \(\frac{22}{7}\); leave answers in terms of pi to be exact.
- A semicircle has half the area of the circle; its perimeter adds the diameter.
How to use this circles practice worksheet
Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.
Download the circles practice worksheet as a PDF with the button below and keep it with your notes.
Download the circles practice worksheet as a PDF with the button below and keep it with your notes.
All Grade 7 chapters: Grade 7 math.
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