Question

what is the approximate area of the circle shown below?

a. \\(188\text{ cm}^2\\)
b. \\(11,310\text{ cm}^2\\)
c. \\(2827\text{ cm}^2\\)
d. \\(94\text{ cm}^2\\)

Explanation:

Identify the given diameter

Using the Diameter of a Circle knowledge point

$$ d = 60\text{ cm} $$

Calculate the radius

Using the Radius of a Circle knowledge point

$$ r = \frac{d}{2} = \frac{60}{2} = 30\text{ cm} $$

Calculate the area

Using the Area of a Circle knowledge point

$$ A = \pi r^2 = \pi (30)^2 = 900\pi \approx 2827.43\text{ cm}^2 $$

Match with the options

Using the Area of a Circle knowledge point

$$ A \approx 2827\text{ cm}^2 $$

Answer:

• A. \(188\text{ cm}^2\)
• B. \(11,310\text{ cm}^2\)
• C. \(2827\text{ cm}^2\) (Correct answer)
• D. \(94\text{ cm}^2\)