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 the radius \(r=\frac{d}{2}\). So \(r=\frac{6}{2}=3\) cm.

Step2: Calculate the area of the circle

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