Which chart shows the correct circumference and area of a circle with a radius of 27 m

Question

Radius is 27 m, circumference 169.56 m, area 84.78 m²
Radius 27 m, circumference 2289.06 m, area 169.56 m²
Radius is 27 m, circumference 169.56 m, area, 2289.06 m²
Radius 27 m, circumference 84.78 m, area, 2289.06 m²

Answer 1

To calculate the circumference and area of a circle given the radius, you can use the following formulas:

1. Circumference (C): \[ C = 2 \pi r \]

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

For a radius \( r = 27 , m \):

1. Circumference: \[ C = 2 \pi (27) \approx 2 \times 3.14159 \times 27 \approx 169.65 , m \]

2. Area: \[ A = \pi (27)^2 \approx 3.14159 \times 729 \approx 2290.42 , m^2 \]

Now, let's evaluate the given options based on our calculations:

• First option: Radius is 27 m, circumference 169.56 m, area 84.78 m² (Incorrect area)
• Second option: Radius 27 m, circumference 2289.06 m, area 169.56 m² (Incorrect circumference and area)
• Third option: Radius is 27 m, circumference 169.56 m, area 2289.06 m² (Correct circumference, incorrect area)
• Fourth option: Radius 27 m, circumference 84.78 m, area 2289.06 m² (Incorrect circumference)

The correct values for a radius of 27 m are:

• Circumference: approximately 169.65 m (close to 169.56 m)
• Area: approximately 2290.42 m² (close to 2289.06 m²)

Therefore, the third option is the only one that closely matches the correct circumference and the area (although the area is slightly inaccurate).