Which chart is correctly developed with the circumference and the area of a circle with a radius of 5 cm?(1 point)

Question

Responses

Radius Circumference Area
5 cm 78.5 cm 31.4 cm2

Radius Circumference Area 5 cm 78.5 cm 31.4 cm squared

Radius Circumference Area
5 cm 15.7 cm 19.63 cm2

Radius Circumference Area 5 cm 15.7 cm 19.63 cm squared

Radius Circumference Area
5 cm 62.8 cm 314 cm2

Radius Circumference Area 5 cm 62.8 cm 314 cm squared

Radius Circumference Area
5 cm 31.4 cm 78.5 cm2

Answer 1

To determine which chart is correctly developed with the circumference and the area of a circle with a radius of 5 cm, we can use the following formulas:

1. Circumference \( C \) of a circle is given by: \[ C = 2 \pi r \] where \( r \) is the radius.

2. Area \( A \) of a circle is given by: \[ A = \pi r^2 \]

For a radius of 5 cm:

• Circumference: \[ C = 2 \pi (5) = 10 \pi \approx 31.4 \text{ cm} \quad (using \pi \approx 3.14) \]

• Area: \[ A = \pi (5^2) = 25 \pi \approx 78.5 \text{ cm}^2 \]

Now let's compare the provided options with the calculated results:

1. First option:

   • Radius: 5 cm
   • Circumference: 78.5 cm
   • Area: 31.4 cm²
   • Incorrect (Circumference and Area swapped)

2. Second option:

   • Radius: 5 cm
   • Circumference: 15.7 cm
   • Area: 19.63 cm²
   • Incorrect

3. Third option:

   • Radius: 5 cm
   • Circumference: 62.8 cm
   • Area: 314 cm²
   • Incorrect

4. Fourth option:

   • Radius: 5 cm
   • Circumference: 31.4 cm
   • Area: 78.5 cm²
   • Correct

The correct answer is the fourth option, with the circumference of 31.4 cm and the area of 78.5 cm².