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Question

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 31.4 cm 78.5 cm^2


Radius Circumference Area 5 cm 31.4 cm 78.5 cm squared

Radius Circumference Area
5 cm 15.7 cm 19.63 cm^2

Radius Circumference Area 5 cm 15.7 cm 19.63 cm squared

Radius Circumference Area
5 cm 78.5 cm 31.4 cm^2

Radius Circumference Area 5 cm 78.5 cm 31.4 cm squared

Radius Circumference Area
5 cm 62.8 cm 314 cm^2

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.

The formulas to use are:

  1. Circumference (C) = 2πr
  2. Area (A) = πr²

Where r is the radius.

For a radius of 5 cm:

  1. Circumference (C) = 2π(5 cm) = 10π cm ≈ 31.4 cm
  2. Area (A) = π(5 cm)² = 25π cm² ≈ 78.5 cm²

Now, let's look at the options provided:

  1. Radius: 5 cm, Circumference: 31.4 cm, Area: 78.5 cm² (Correct)
  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: 62.8 cm, Area: 314 cm² (Incorrect)

The correct chart is: Radius: 5 cm, Circumference: 31.4 cm, Area: 78.5 cm².