Free Grade 3 Circles Worksheets
Free Grade 3 worksheets for Circles: 12 real questions with a full answer key and worked solutions. Perimeter is the distance around a shape; area is the space inside. Rectangle area = length × width; triangle = ½ × base × height; circle = πr².
Free
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify circles
Identify circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain circles
Explain circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate circles
Calculate circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare circles
Compare circles accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Circles works
Perimeter is the distance around a shape; area is the space inside. Rectangle area = length × width; triangle = ½ × base × height; circle = πr².
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.A rectangle is 13 cm by 2 cm. Find its perimeter and area.[1]
- 2.A rectangle is 11 cm by 10 cm. Find its perimeter and area.[1]
- 3.A rectangle is 6 cm by 11 cm. Find its perimeter and area.[1]
- 4.A rectangle is 8 cm by 13 cm. Find its perimeter and area.[1]
- 5.A triangle has base 22 cm and height 4 cm. Find its area.[2]
- 6.A triangle has base 22 cm and height 8 cm. Find its area.[2]
- 7.A triangle has base 16 cm and height 7 cm. Find its area.[2]
- 8.A triangle has base 26 cm and height 10 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 11 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 7 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 8 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 12 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 30 cm, area 26 cm²
Perimeter = 13 + 2 + 13 + 2 = 30 cm. Area = 13 × 2 = 26 cm².
2. Perimeter 42 cm, area 110 cm²
Perimeter = 11 + 10 + 11 + 10 = 42 cm. Area = 11 × 10 = 110 cm².
3. Perimeter 34 cm, area 66 cm²
Perimeter = 6 + 11 + 6 + 11 = 34 cm. Area = 6 × 11 = 66 cm².
4. Perimeter 42 cm, area 104 cm²
Perimeter = 8 + 13 + 8 + 13 = 42 cm. Area = 8 × 13 = 104 cm².
5. 44 cm²
Area = ½ × base × height. ½ × 22 × 4 = 44 cm².
6. 88 cm²
Area = ½ × base × height. ½ × 22 × 8 = 88 cm².
7. 56 cm²
Area = ½ × base × height. ½ × 16 × 7 = 56 cm².
8. 130 cm²
Area = ½ × base × height. ½ × 26 × 10 = 130 cm².
9. Area 380.1 cm², circumference 69.1 cm
Area = πr² = π × 11² = 380.1 cm². Circumference = 2πr = 2 × π × 11 = 69.1 cm.
10. Area 153.9 cm², circumference 44 cm
Area = πr² = π × 7² = 153.9 cm². Circumference = 2πr = 2 × π × 7 = 44 cm.
11. Area 201.1 cm², circumference 50.3 cm
Area = πr² = π × 8² = 201.1 cm². Circumference = 2πr = 2 × π × 8 = 50.3 cm.
12. Area 452.4 cm², circumference 75.4 cm
Area = πr² = π × 12² = 452.4 cm². Circumference = 2πr = 2 × π × 12 = 75.4 cm.
Worked examples
A rectangle is 3 cm by 5 cm. Find its perimeter and area.
- Perimeter = 3 + 5 + 3 + 5 = 16 cm.
- Area = 3 × 5 = 15 cm².
- Answer: Perimeter 16 cm, area 15 cm²
A triangle has base 8 cm and height 10 cm. Find its area.
- Area = ½ × base × height.
- ½ × 8 × 10 = 40 cm².
- Answer: 40 cm²
Find the area and circumference of a circle with radius 3 cm (to 1 d.p.).
- Area = πr² = π × 3² = 28.3 cm².
- Circumference = 2πr = 2 × π × 3 = 18.8 cm.
- Answer: Area 28.3 cm², circumference 18.8 cm
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Mixes up area and perimeter.
Correction: Perimeter is a fence (around), area is grass (inside).
Uses the slanted side as the height of a triangle.
Correction: Height must be at right angles to the base.
Teacher tips
- · Draw shapes on squared paper and count squares first.
Parent tips
- · Measure a room and work out how much carpet you'd need.
Real-life applications
- · Carpeting a room, fencing a garden.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Circles
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Circles worksheet really free?
- Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Quadrilaterals, Triangles, Angles. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Circles?
- Move on to Polygons, Symmetry, Angles, Perimeter and Area, which build directly on this idea.
Related resources
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