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: $48 \pi~{\text{mm}}^2$
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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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