Question

find the area of a circle with a diameter of 16 cm.

Explanation:

Step1: Find the radius

The radius \( r \) of a circle is half of its diameter \( d \). Given \( d = 16 \) cm, so \( r=\frac{d}{2}=\frac{16}{2} = 8 \) cm.

Step2: Use the area formula for a circle

The formula for the area \( A \) of a circle is \( A=\pi r^{2} \). Substitute \( r = 8 \) cm into the formula: \( A=\pi\times8^{2}=\pi\times64 = 64\pi \) \( \text{cm}^2 \). If we use \( \pi\approx3.14 \), then \( A\approx64\times3.14 = 200.96 \) \( \text{cm}^2 \).

Answer:

The area of the circle is \( 64\pi \text{ cm}^2 \) (or approximately \( 200.96 \text{ cm}^2 \))