Question

find the area of a circle with a diameter of 6. either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal. units²

Explanation:

Step1: Find the radius

The diameter \( d = 6 \), and the radius \( r=\frac{d}{2}\). So \( r = \frac{6}{2}=3 \).

Step2: Use the area formula of a circle

The area formula of a circle is \( A=\pi r^{2} \) (or \( A = 3.14r^{2} \) when using \( 3.14 \) for \( \pi \)). Substitute \( r = 3 \) into the formula.

• If we use \( \pi \): \( A=\pi\times3^{2}=9\pi \).
• If we use \( 3.14 \) for \( \pi \): \( A = 3.14\times3^{2}=3.14\times9 = 28.26 \).

Answer:

If in terms of \( \pi \), the area is \( 9\pi \) square units; if using \( 3.14 \) for \( \pi \), the area is \( 28.26 \) square units.