Question

Which chart is correctly developed with the circumference and the area of a circle with a radius of 5 cm
Radius 5 cm, circumference 31.4 cm, area 78.5 cm to the second degree
Radius 5 cm, circumference 62.8 cm, area, 314 cm to the second degree
Radius 5 cm circumference, 15.7 cm, area 19.63 cm to the second degree
Radius 5 cm, circumference 78.5 cm, area 31.4 cm to the second degree

Answer 1

To determine which chart is correctly developed, we need to verify the circumference and area of a circle with a radius of 5 cm.

1. **Circumference of a Circle**:
The formula to calculate the circumference \(C\) of a circle is:
\[
C = 2 \pi r
\]
Where \(r\) is the radius. For a radius of 5 cm:
\[
C = 2 \pi (5) = 10\pi \approx 31.4 \text{ cm}
\]

2. **Area of a Circle**:
The formula to calculate the area \(A\) of a circle is:
\[
A = \pi r^2
\]
For a radius of 5 cm:
\[
A = \pi (5^2) = 25\pi \approx 78.5 \text{ cm}^2
\]

Now, let's evaluate each option:

1. **Option 1**: Radius 5 cm, circumference 31.4 cm, area 78.5 cm²
- **Correct**: Circumference is 31.4 cm, Area is 78.5 cm².

2. **Option 2**: Radius 5 cm, circumference 62.8 cm, area 314 cm²
- **Incorrect**: Circumference is incorrect (should be 31.4 cm), area is incorrect (should be 78.5 cm²).

3. **Option 3**: Radius 5 cm, circumference 15.7 cm, area 19.63 cm²
- **Incorrect**: Circumference is incorrect (should be 31.4 cm), area is incorrect (should be 78.5 cm²).

4. **Option 4**: Radius 5 cm, circumference 78.5 cm, area 31.4 cm²
- **Incorrect**: Both values are incorrect (circumference should be 31.4 cm, area should be 78.5 cm²).

**Conclusion**: The only correct option is **Option 1**: Radius 5 cm, circumference 31.4 cm, area 78.5 cm².