Which measurement is a good estimate for the area of a circle if the radius is 4

Question

meters?

Responses

12.6
m2
12 point 6 textsf m squared

25.1
m2
25 point 1 textsf m squared

100.5
m2
100 point 5 textsf m squared

50.2
m2

Answer 1

To estimate the area of a circle, you can use the formula:

\[ \text{Area} = \pi r^2 \]

where \( r \) is the radius of the circle. Given that the radius is 4 meters, we can calculate the area as follows:

\[ \text{Area} = \pi (4)^2 = \pi \times 16 \approx 3.14 \times 16 \approx 50.24 , m^2 \]

When comparing this value to the provided responses, the best estimate for the area of the circle with a radius of 4 meters is:

50.2 m²

So, the correct response is 50.2 m².