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…
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
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: $A=\pi\times(3)^{2}=9\pi$ square cm.
Answer:
D. $9\pi$ square cm