Question : If the numerical value of the circumference and area of a circle is the same, then the area is:
Option 1: $6\pi$ sq. units
Option 2: $4\pi$ sq. units
Option 3: $8\pi$ sq. units
Option 4: $12\pi$ sq. units
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Correct Answer: $4\pi$ sq. units
Solution : Given: the numerical value of the circumference and area of a circle is the same. Let the radius of the circle be $r$ unit. We know that, the circumference of a circle = $2\pi r$, and the area of a circle = $\pi r^2$ According to the question, $\pi r^2$ = $2\pi r$ ⇒ $r$ = $2$ units Therefore, the area of the circle = $\pi r^2$ = $\pi(2)^2$ = $4\pi$ sq.units Hence, the correct answer is $4\pi$ sq. units.
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