Radius and Diameter Practice Interactive Worksheet - Edform - Free Printable

To solve the problem of finding the radius and diameter of each circle, we need to use the relationship between the radius and diameter of a circle. The key formulas are:

- Diameter (\(D\)) = 2 × Radius (\(r\))
- Radius (\(r\)) = Diameter (\(D\)) ÷ 2

Let's solve each part step by step.

1)

- Given: Radius = 3 yd
- Find: Diameter

Using the formula \( D = 2 \times r \):
\[
D = 2 \times 3 \, \text{yd} = 6 \, \text{yd}
\]

- Answer:
- Radius = 3 yd
- Diameter = 6 yd

2)

- Given: Diameter = 92 in
- Find: Radius

Using the formula \( r = D ÷ 2 \):
\[
r = 92 \, \text{in} ÷ 2 = 46 \, \text{in}
\]

- Answer:
- Radius = 46 in
- Diameter = 92 in

3)

- Given: Radius = 23 ft
- Find: Diameter

Using the formula \( D = 2 \times r \):
\[
D = 2 \times 23 \, \text{ft} = 46 \, \text{ft}
\]

- Answer:
- Radius = 23 ft
- Diameter = 46 ft

4)

- Given: Diameter = 36 in
- Find: Radius

Using the formula \( r = D ÷ 2 \):
\[
r = 36 \, \text{in} ÷ 2 = 18 \, \text{in}
\]

- Answer:
- Radius = 18 in
- Diameter = 36 in

5)

- Given: Radius = 19 ft
- Find: Diameter

Using the formula \( D = 2 \times r \):
\[
D = 2 \times 19 \, \text{ft} = 38 \, \text{ft}
\]

- Answer:
- Radius = 19 ft
- Diameter = 38 ft

6)

- Given: Radius = 12 yd
- Find: Diameter

Using the formula \( D = 2 \times r \):
\[
D = 2 \times 12 \, \text{yd} = 24 \, \text{yd}
\]

- Answer:
- Radius = 12 yd
- Diameter = 24 yd

Final Answers:

1. Radius = 3 yd, Diameter = 6 yd
2. Radius = 46 in, Diameter = 92 in
3. Radius = 23 ft, Diameter = 46 ft
4. Radius = 18 in, Diameter = 36 in
5. Radius = 19 ft, Diameter = 38 ft
6. Radius = 12 yd, Diameter = 24 yd

\boxed{
\begin{array}{ll}
1) & \text{Radius = 3 yd, Diameter = 6 yd} \\
2) & \text{Radius = 46 in, Diameter = 92 in} \\
3) & \text{Radius = 23 ft, Diameter = 46 ft} \\
4) & \text{Radius = 18 in, Diameter = 36 in} \\
5) & \text{Radius = 19 ft, Diameter = 38 ft} \\
6) & \text{Radius = 12 yd, Diameter = 24 yd} \\
\end{array}
}