Free Grade 3 Area of Circles in Context Lessons
Free Grade 3 lessons for Area of Circles in Context: 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
Foundation
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify area of circles in context
Identify area of circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain area of circles in context
Explain area of circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate area of circles in context
Calculate area of circles in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare area of circles in context
Compare area of circles in context 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 Area of Circles in Context 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 4 cm by 15 cm. Find its perimeter and area.[1]
- 2.A rectangle is 14 cm by 10 cm. Find its perimeter and area.[1]
- 3.A rectangle is 10 cm by 15 cm. Find its perimeter and area.[1]
- 4.A rectangle is 3 cm by 2 cm. Find its perimeter and area.[1]
- 5.A triangle has base 22 cm and height 7 cm. Find its area.[2]
- 6.A triangle has base 14 cm and height 10 cm. Find its area.[2]
- 7.A triangle has base 16 cm and height 14 cm. Find its area.[2]
- 8.A triangle has base 10 cm and height 13 cm. Find its area.[2]
- 9.Find the area and circumference of a circle with radius 2 cm (to 1 d.p.).[3]
- 10.Find the area and circumference of a circle with radius 8 cm (to 1 d.p.).[3]
- 11.Find the area and circumference of a circle with radius 11 cm (to 1 d.p.).[3]
- 12.Find the area and circumference of a circle with radius 5 cm (to 1 d.p.).[3]
Show answers and working
1. Perimeter 38 cm, area 60 cm²
Perimeter = 4 + 15 + 4 + 15 = 38 cm. Area = 4 × 15 = 60 cm².
2. Perimeter 48 cm, area 140 cm²
Perimeter = 14 + 10 + 14 + 10 = 48 cm. Area = 14 × 10 = 140 cm².
3. Perimeter 50 cm, area 150 cm²
Perimeter = 10 + 15 + 10 + 15 = 50 cm. Area = 10 × 15 = 150 cm².
4. Perimeter 10 cm, area 6 cm²
Perimeter = 3 + 2 + 3 + 2 = 10 cm. Area = 3 × 2 = 6 cm².
5. 77 cm²
Area = ½ × base × height. ½ × 22 × 7 = 77 cm².
6. 70 cm²
Area = ½ × base × height. ½ × 14 × 10 = 70 cm².
7. 112 cm²
Area = ½ × base × height. ½ × 16 × 14 = 112 cm².
8. 65 cm²
Area = ½ × base × height. ½ × 10 × 13 = 65 cm².
9. Area 12.6 cm², circumference 12.6 cm
Area = πr² = π × 2² = 12.6 cm². Circumference = 2πr = 2 × π × 2 = 12.6 cm.
10. Area 201.1 cm², circumference 50.3 cm
Area = πr² = π × 8² = 201.1 cm². Circumference = 2πr = 2 × π × 8 = 50.3 cm.
11. Area 380.1 cm², circumference 69.1 cm
Area = πr² = π × 11² = 380.1 cm². Circumference = 2πr = 2 × π × 11 = 69.1 cm.
12. Area 78.5 cm², circumference 31.4 cm
Area = πr² = π × 5² = 78.5 cm². Circumference = 2πr = 2 × π × 5 = 31.4 cm.
Worked examples
A rectangle is 4 cm by 13 cm. Find its perimeter and area.
- Perimeter = 4 + 13 + 4 + 13 = 34 cm.
- Area = 4 × 13 = 52 cm².
- Answer: Perimeter 34 cm, area 52 cm²
A triangle has base 18 cm and height 13 cm. Find its area.
- Area = ½ × base × height.
- ½ × 18 × 13 = 117 cm².
- Answer: 117 cm²
Find the area and circumference of a circle with radius 4 cm (to 1 d.p.).
- Area = πr² = π × 4² = 50.3 cm².
- Circumference = 2πr = 2 × π × 4 = 25.1 cm.
- Answer: Area 50.3 cm², circumference 25.1 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
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Frequently asked
- Is this Grade 3 Area of Circles in Context lesson really free?
- Yes. Every lessons 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 Working with Area of Circles, Introducing Area of Circles, Area of Triangles. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Area of Circles in Context?
- Move on to Perimeter of Rectangles, Area of Rectangles, Area of Triangles, Compound Shapes, which build directly on this idea.
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