what is the area of a circular region whose diameter is 6 centimeters?\n\na $6\\pi$ cm\nb $9\\pi$ cm\nc…

what is the area of a circular region whose diameter is 6 centimeters?\n\na $6\\pi$ cm\nb $9\\pi$ cm\nc $12\\pi$ square cm\nd $9\\pi$ square cm

what is the area of a circular region whose diameter is 6 centimeters?\n\na $6\\pi$ cm\nb $9\\pi$ cm\nc $12\\pi$ square cm\nd $9\\pi$ square cm

Answer

Explanation:

Step1: Identify the radius from diameter

$$r = \frac{d}{2} = \frac{6\text{ cm}}{2} = 3\text{ cm}$$

Step2: Apply the circle area formula

$$A = \pi r^2$$

Step3: Calculate the final area

$$A = \pi (3\text{ cm})^2 = 9\pi \text{ square cm}$$

Answer:

D. $9\pi$ square cm