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

Responses

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

Radius Circumference Area 5 cm 78.5 cm 31.4 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


Radius Circumference Area 5 cm 31.4 cm 78.5 cm squared
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1 answer

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

  1. Circumference \( C \) of a circle is calculated using the formula: \[ C = 2 \pi r \] where \( r \) is the radius. For a radius of 5 cm: \[ C = 2 \pi (5) \approx 2 \times 3.14 \times 5 \approx 31.4 \text{ cm} \]

  2. Area \( A \) of a circle is calculated using the formula: \[ A = \pi r^2 \] For a radius of 5 cm: \[ A = \pi (5^2) = \pi (25) \approx 3.14 \times 25 \approx 78.5 \text{ cm}^2 \]

Now, let's look at the options:

  1. Option 1:

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

  2. Option 2:

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

  3. Option 3:

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

  4. Option 4:

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

Based on these calculations, Option 4 is the correct chart:

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