what is the area of a circular region whose diameter is 6 centimeters?\na 6π cm\nb 9π cm\nc 12π square cm\nd…
what is the area of a circular region whose diameter is 6 centimeters?\na 6π cm\nb 9π cm\nc 12π square cm\nd 9π square cm
Answer
Explanation:
Step1: Find the radius
The radius $r$ of a circle is half of the diameter $d$. Given $d = 6$ cm, so $r=\frac{d}{2}=\frac{6}{2}=3$ cm.
Step2: Calculate the area
The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 3$ cm into the formula, we get $A=\pi\times3^{2}=9\pi$ square cm.
Answer:
D. $9\pi$ square cm