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.