what is the area of a circular region whose diameter is 12 centimeters?\na 36π square cm\nb 36π cm\nc 12π…

what is the area of a circular region whose diameter is 12 centimeters?\na 36π square cm\nb 36π cm\nc 12π cm\nd 24π square cm

what is the area of a circular region whose diameter is 12 centimeters?\na 36π square cm\nb 36π cm\nc 12π cm\nd 24π square cm

Answer

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter $d$. Given $d = 12$ cm, so $r=\frac{d}{2}=\frac{12}{2}=6$ cm.

Step2: Calculate the area

The formula for the area $A$ of a circle is $A=\pi r^{2}$. Substitute $r = 6$ cm into the formula, we get $A=\pi\times6^{2}=36\pi$ square cm.

Answer:

A. 36π square cm