To find the circumference of each circle, I will use the formula for circumference. Since all measurements given in the worksheet are diameters (lines going all the way across the center), I will use the formula:
Circumference = π × diameter
I will use
π ≈ 3.14 for these calculations, which is standard for Grade 5 geometry.
Let's solve each problem step by step:
1. Diameter = 36 yd
C = 3.14 × 36
C = 113.04 yd
2. Diameter = 12 ft
C = 3.14 × 12
C = 37.68 ft
3. Diameter = 14 in
C = 3.14 × 14
C = 43.96 in
4. Diameter = 15 in
C = 3.14 × 15
C = 47.1 in
5. Diameter = 8 in
C = 3.14 × 8
C = 25.12 in
6. Diameter = 8 yd
C = 3.14 × 8
C = 25.12 yd
7. Diameter = 18 in
C = 3.14 × 18
C = 56.52 in
8. Diameter = 10 yd
C = 3.14 × 10
C = 31.4 yd
9. Diameter = 4 yd
C = 3.14 × 4
C = 12.56 yd
Let me double-check my calculations:
1. 3.14 × 36 = 113.04 ✓
2. 3.14 × 12 = 37.68 ✓
3. 3.14 × 14 = 43.96 ✓
4. 3.14 × 15 = 47.10 ✓
5. 3.14 × 8 = 25.12 ✓
6. 3.14 × 8 = 25.12 ✓
7. 3.14 × 18 = 56.52 ✓
8. 3.14 × 10 = 31.40 ✓
9. 3.14 × 4 = 12.56 ✓
All calculations are correct.
Final Answer:
1. 113.04 yd
2. 37.68 ft
3. 43.96 in
4. 47.1 in
5. 25.12 in
6. 25.12 yd
7. 56.52 in
8. 31.4 yd
9. 12.56 yd
Parent Tip: Review the logic above to help your child master the concept of circle worksheets.