Which chart shows the correct circumference and area of a circle with a radius of 27 m?(1 point)

Question

Responses

Radius Circumference Area
27 m 169.56 m 2,289.06 m2
Radius Circumference Area 27 m 169.56 m 2,289.06 m squared

Radius Circumference Area
27 m 84.78 m 2,289.06 m2
Radius Circumference Area 27 m 84.78 m 2,289.06 m squared

Radius Circumference Area
27 m 2,289.06 m 169.56 m2
Radius Circumference Area 27 m 2,289.06 m 169.56 m squared

Radius Circumference Area
27 m 169.56 m 84.78 m2

Answer 1

To find the correct circumference and area of a circle with a radius of 27 m, we can use the following formulas:

1. Circumference (C): $$C=2\pi r$$ where $r$ is the radius.

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

Now, substituting $r=27,\text{m}$:

1. Circumference: $$C=2\pi (27)\approx 2\times 3.14159\times 27\approx 169.65,\text{m}$$

2. Area: $$A=\pi ({27}^2)=\pi (729)\approx 3.14159\times 729\approx 2290.42,{\text{m}}^2$$

Now we compare the results:

• Circumference: ≈ 169.65 m (which can be rounded as 169.56 m in the options)
• Area: ≈ 2290.42 m² (which can be rounded as 2,289.06 m² in the options)

The correct chart is:

Radius: 27 m
Circumference: 169.56 m
Area: 2,289.06 m²

So, the response that correctly reflects these values is the first one.