Question

Which chart is correctly developed with a circumference and the area of a circle with the radius of 5 cm
Radius 5 cm, circumference 62.8 cm, area, 314 cm²
Radius 5 cm, circumference 15.7 cm ,area 19.63 cm²
Radius 5 cm, circumference 78.5 cm, area 31.4 cm²
Radius 5 cm, circumference 31.4 cm, area 78.5 cm²

Answer 1

To determine which chart is correct for a circle with a radius of 5 cm, we need to calculate the circumference and area based on the formulas:

1. Circumference (C) = \( 2\pi r \)
2. Area (A) = \( \pi r^2 \)

For a radius (r) of 5 cm:

1. **Circumference**:
\[
C = 2\pi \times 5 = 10\pi \approx 31.4 \, \text{cm}
\]

2. **Area**:
\[
A = \pi \times 5^2 = 25\pi \approx 78.5 \, \text{cm}^2
\]

Based on these calculations, we can compare with the options provided:

1. **Radius 5 cm, circumference 62.8 cm, area 314 cm²**: Incorrect
2. **Radius 5 cm, circumference 15.7 cm, area 19.63 cm²**: Incorrect
3. **Radius 5 cm, circumference 78.5 cm, area 31.4 cm²**: Incorrect
4. **Radius 5 cm, circumference 31.4 cm, area 78.5 cm²**: Correct

Thus, the correctly developed chart is:
**Radius 5 cm, circumference 31.4 cm, area 78.5 cm²**.