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 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

Answer 1

To determine the correct values for the circumference and area of a circle with a radius of 5 cm, we can use the following formulas:

1. Circumference (C): \[ C = 2\pi r \] Where \( r \) is the radius.

2. Area (A): \[ A = \pi r^2 \]

For a radius of 5 cm:

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

2. Calculating Area: \[ A = \pi \times (5)^2 \approx 78.5 \text{ cm}^2 \]

Now, let's check the provided responses against these calculations:

• First Response: Circumference 62.8 cm, Area 314 cm² (Incorrect)
• Second Response: Circumference 31.4 cm, Area 78.5 cm² (Correct)
• Third Response: Circumference 78.5 cm, Area 31.4 cm² (Incorrect)
• Fourth Response: Circumference 15.7 cm, Area 19.63 cm² (Incorrect)

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