Question

what is the area of a circular region whose diameter is 6 centimeters? a 6π cm b 9π cm c 12π square cm d 9π square cm

Explanation:

Step1: Find the radius

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

Step2: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 3 \) into the formula: \( A=\pi\times3^{2}=\pi\times9 = 9\pi \) square cm.

Answer:

D. \( 9\pi \) square cm