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 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 15.7 cm 19.63 cm2 Radius Circumference Area 5 cm 15.7 cm 19.63 cm squared Radius Circumference Area 5 cm 31.4 cm 78.5 cm2

Answer 1

To calculate the circumference and area of a circle, we use the following formulas:

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

Given the radius \( r = 5 \) cm:

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

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

Based on these calculations, the correct chart is:

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

So, the response with:

Radius Circumference Area 5 cm 31.4 cm 78.5 cm squared
is the correct one.