Answer: C
Explanation:
To find the approximate area of the circle, we need to use the formula for the area of a circle: A = πr^2.
Since the question does not provide the radius of the circle, we cannot calculate the exact area. However, we can still compare the answer choices and make an approximate estimate based on the given options.
Let's analyze the answer choices:
A. 13.2 cm^2
B. 222 cm^2
C. 55.4 cm^2
D. 26.4 cm^2
Looking at the answer choices, we can eliminate option B, 222 cm^2, as it seems to be much larger compared to the other options.
Next, let's calculate the approximate area using the remaining options:
A. 13.2 cm^2:
By taking the square root of 13.2/π, we can find the approximate radius, which is around 2.09 cm. Plugging this value into the area formula, we get an approximate area of 13.2 cm^2.
C. 55.4 cm^2:
By taking the square root of 55.4/π, we can find the approximate radius, which is around 4.18 cm. Plugging this value into the area formula, we get an approximate area of 55.4 cm^2.
D. 26.4 cm^2:
By taking the square root of 26.4/π, we can find the approximate radius, which is around 3.25 cm. Plugging this value into the area formula, we get an approximate area of 26.4 cm^2.
Comparing the approximate areas, we can see that option C, 55.4 cm^2, is the closest to the calculated approximate area. Therefore, the approximate area of the circle shown is 55.4 cm^2.