Question : What is the area of a circle with a diameter of $12~\text{mm}$?
Option 1: $12 \pi~{\text{mm}}^2$
Option 2: $24 \pi~{\text{mm}}^2$
Option 3: $36 \pi~{\text{mm}}^2$
Option 4: $48 \pi~{\text{mm}}^2$
Correct Answer: $36 \pi~{\text{mm}}^2$
Solution :
Given: The diameter of the circle = $12~\text{mm}$
So, the radius($r$) = $\frac{12}{2}$ = $6~\text{mm}$
We know that the area of a circle = $\pi r^2$
= $\pi×6×6$
= $36\pi~\text{mm}^2$
Hence, the correct answer is $36\pi~\text{mm}^2$.
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