Question

Object
Radius (cm)
Diameter (cm)
Circumference (cm)
Cookie
Math Input:
Small plate
Math Input:
Math Input:
Quarter
Math Input:
Math Input:
Frisbee
Math Input:
Math Input:
21 pi
Tennis ball can
7 halves
Math Input:
Math Input:
Vinyl record
Math Input:
Math Input:

Answer 1

To fill in the values for the objects you've listed, let's first define the relationships among radius, diameter, and circumference.

- **Radius (r)** is half of the diameter (d): \( r = \frac{d}{2} \)
- **Diameter (d)** is twice the radius: \( d = 2r \)
- **Circumference (C)** is given by the formula: \( C = 2\pi r \) or \( C = \pi d \)

Now, let's calculate the measurements for each object listed:

### Cookie
- **Radius**: Let’s assume a small cookie has a radius of about 5 cm.
- **Diameter**: \( d = 2r = 2(5) = 10 \) cm.
- **Circumference**: \( C = 2\pi r = 2\pi(5) = 10\pi \) cm.

### Small Plate
- **Radius**: Let’s assume a small plate has a radius of about 10 cm.
- **Diameter**: \( d = 2r = 2(10) = 20 \) cm.
- **Circumference**: \( C = 2\pi r = 2\pi(10) = 20\pi \) cm.

### Quarter
- **Radius**: Approximately 1.9 cm (typical U.S. quarter).
- **Diameter**: \( d = 2r = 2(1.9) \approx 3.8 \) cm.
- **Circumference**: \( C = 2\pi r \approx 2\pi(1.9) \approx 3.8\pi \) cm.

### Frisbee
- **Radius**: Let’s say around 15 cm.
- **Diameter**: \( d = 2r = 2(15) = 30 \) cm.
- **Circumference**: \( C = 2\pi r = 2\pi(15) = 30\pi \) cm.

### Tennis Ball Can
- Given:
- **Diameter**: 7 cm (let's find radius first).
- **Radius**: \( r = \frac{d}{2} = \frac{7}{2} = 3.5 \) cm.
- **Circumference**: \( C = \pi d = \pi(7) = 7\pi \) cm.

### Vinyl Record
- Typically, let's consider a vinyl record to have a diameter of about 30 cm.
- **Radius**: \( r = \frac{d}{2} = \frac{30}{2} = 15 \) cm.
- **Circumference**: \( C = \pi d = \pi(30) = 30\pi \) cm.

### Summary Table:

| Object | Radius (cm) | Diameter (cm) | Circumference (cm) |
|------------------|-------------|----------------|---------------------|
| Cookie | 5 | 10 | 10π |
| Small Plate | 10 | 20 | 20π |
| Quarter | 1.9 | 3.8 | 3.8π |
| Frisbee | 15 | 30 | 30π |
| Tennis Ball Can | 3.5 | 7 | 7π |
| Vinyl Record | 15 | 30 | 30π |

Feel free to adjust the specific radius values depending on the actual sizes of the objects you're considering!