As a contestant on a televised game show, Garrett gets to spin the big prize wheel, which has a diameter of 4 meters. What is the prize wheel's area?
Use 3.14 for 𝜋. If necessary, round your answer to the nearest hundredth.
The radius of the prize wheel can be found by dividing the diameter by 2: \( \frac{4}{2} = 2 \) meters.
The area of a circle is given by the formula \( A = \pi r^2 \).
Plugging in the values, we find that the area of the prize wheel is \( \pi \cdot 2^2 = 4 \pi \) square meters.
Using the value 3.14 for \( \pi \), we can approximate the area as \( 4 \cdot 3.14 = 12.56 \) square meters.
Rounded to the nearest hundredth, the prize wheel's area is approximately \( \boxed{12.56} \) square meters.