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 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


Radius Circumference Area 5 cm 31.4 cm 78.5 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 78.5 cm 31.4 cm2

Answer 1

To determine which chart is correctly developed, we need to calculate the circumference and the area of a circle with a radius of 5 cm using the following formulas:

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

For a radius (r) of 5 cm:

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

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

Now, let's evaluate the responses based on these calculations:

1. Response 1:

   • Circumference: 62.8 cm (Incorrect)
   • Area: 314 cm² (Incorrect)

2. Response 2:

   • Circumference: 31.4 cm (Correct)
   • Area: 78.5 cm² (Correct)

3. Response 3:

   • Circumference: 15.7 cm (Incorrect)
   • Area: 19.63 cm² (Incorrect)

4. Response 4:

   • Circumference: 78.5 cm (Incorrect)
   • Area: 31.4 cm² (Incorrect)

The correct chart is Response 2:

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