A circular pendant has a diameter of 7 centimeters. Find its area. Use \( \frac{22}{7} \) as an approximation for \( \pi \).

To find the area of the circular pendant, we can use the formula for the area of a circle, which is \( A = \pi r^2 \). First, we need to determine the radius. Since the diameter is 7 centimeters, the radius \( r \) is half of that, so \( r = \frac{7}{2} = 3.5 \) centimeters. Now, we can calculate the area: \[ A = \pi r^2 = \frac{22}{7} \times (3.5)^2 \] Calculating \( (3.5)^2 = 12.25 \), we then multiply: \[ A = \frac{22}{7} \times 12.25 = \frac{22 \times 12.25}{7} \approx \frac{271.5}{7} \approx 38.7857 \text{ cm}^2 \] Thus, the area of the pendant is approximately \( 38.79 \text{ cm}^2 \). For a practical tip, if you find circles perplexing, try using a piece of string to measure the radius directly on circles. Just make sure to measure the diameter, then divide by 2! Also, a fun historical nugget: the concept of circles and their properties has been around since the time of ancient civilizations! The Greeks played a massive role in formalizing the mathematics behind circles, with mathematicians like Archimedes approximating pi long before calculators were a thing!