Let’s solve each problem step by step.
We are finding the
area of a circle.
The formula is:
Area = π × r²
where
r is the radius (half of the diameter).
In all these problems, we’re given the
diameter, so first we divide it by 2 to get the radius.
We’ll use
π ≈ 3.14 for simplicity.
---
Problem 1: Diameter = 8 yd
Radius = 8 ÷ 2 = 4 yd
Area = 3.14 × 4² = 3.14 × 16 =
50.24 yd²
---
Problem 2: Diameter = 18 in
Radius = 18 ÷ 2 = 9 in
Area = 3.14 × 9² = 3.14 × 81 =
254.34 in²
---
Problem 3: Diameter = 10 yd
Radius = 10 ÷ 2 = 5 yd
Area = 3.14 × 5² = 3.14 × 25 =
78.5 yd²
---
Problem 4: Diameter = 6 in
Radius = 6 ÷ 2 = 3 in
Area = 3.14 × 3² = 3.14 × 9 =
28.26 in²
---
Problem 5: Diameter = 4 ft
Radius = 4 ÷ 2 = 2 ft
Area = 3.14 × 2² = 3.14 × 4 =
12.56 ft²
---
Problem 6: Diameter = 10 ft
Radius = 10 ÷ 2 = 5 ft
Area = 3.14 × 5² = 3.14 × 25 =
78.5 ft²
---
Problem 7: Diameter = 1 yd
Radius = 1 ÷ 2 = 0.5 yd
Area = 3.14 × (0.5)² = 3.14 × 0.25 =
0.785 yd²
---
Problem 8: Diameter = 14 in
Radius = 14 ÷ 2 = 7 in
Area = 3.14 × 7² = 3.14 × 49 =
153.86 in²
---
Problem 9: Diameter = 2 yd
Radius = 2 ÷ 2 = 1 yd
Area = 3.14 × 1² = 3.14 × 1 =
3.14 yd²
---
Final Answer:
1. 50.24 yd²
2. 254.34 in²
3. 78.5 yd²
4. 28.26 in²
5. 12.56 ft²
6. 78.5 ft²
7. 0.785 yd²
8. 153.86 in²
9. 3.14 yd²
Parent Tip: Review the logic above to help your child master the concept of radius and diameter worksheet answers.
