Circumference & Area of Circles - Worksheet 3 - 10th Grade

Easy

Calculate circumference, area of circles, and sectors (Easy)

20 problems · 15-20 minutes · Skills: circles, area, geometry

About This Worksheet

This easy-level worksheet contains 20 problems designed for 10th Grade students practicing circumference & area of circles. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Circumference and area of circles are among the most practically useful geometric formulas, appearing in engineering design, manufacturing, and physics. Arc length and sector area extend these formulas in ways that directly connect to radian measure in trigonometry and to integral calculus.

  • Calculate the circumference of a circle
  • Calculate the area of a circle
  • Find the arc length and sector area given the central angle and radius
  • Solve for the radius or diameter when given circumference or area
  • Calculate the area of a segment by subtracting triangle area from sector area

How to Solve: Worked Example

Example Problem: Find the exact circumference of a circle with radius 16.
Solution Steps:
  1. Circumference C = 2πr.
  2. = 2π(16).
  3. = 32π.
Answer: 32π
Tip: "Exact" means leave π in the answer rather than rounding to a decimal.
1
Find the exact circumference of a circle with radius 10.
2
Find the exact circumference of a circle with radius 45.
3
Find the exact circumference of a circle with radius 30.
4
Find the exact circumference of a circle with radius 38.
5
Find the exact circumference of a circle with radius 40.
6
Find the exact circumference of a circle with radius 3.
7
Find the exact circumference of a circle with radius 22.
8
Find the exact circumference of a circle with radius 3.
9
Find the exact circumference of a circle with radius 27.
10
Find the exact circumference of a circle with radius 28.
11
Find the exact circumference of a circle with radius 27.
12
Find the exact circumference of a circle with radius 5.
13
Find the exact circumference of a circle with radius 32.
14
Find the exact circumference of a circle with radius 8.
15
Find the exact circumference of a circle with radius 17.
16
Find the exact circumference of a circle with radius 7.
17
Find the exact circumference of a circle with radius 27.
18
Find the exact circumference of a circle with radius 28.
19
Find the exact circumference of a circle with radius 15.
20
Find the exact circumference of a circle with radius 35.

Answer Key

1. 20π2. 90π3. 60π4. 76π5. 80π6. 7. 44π8. 9. 54π10. 56π11. 54π12. 10π13. 64π14. 16π15. 34π16. 14π17. 54π18. 56π19. 30π20. 70π

Frequently Asked Questions

How do I download this circumference & area of circles - worksheet 3 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this area & volume worksheet cover?

This worksheet focuses on circles, area, geometry. It is designed for 10th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 20 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.