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Question
Tick the correct answer in the following and justify your choice: If the perimeter and the area of a circle are numerically equal, then the radius of the circle is:
Options
2 units
π units
4 units
2π units
7 units
Solution
2 units
Let the radius of the circle be r.
Circumference of circle = 2πr
Area of circle = πr2
Given that, the circumference of the circle and the area of the circle are equal.
This implies 2πr = πr2
2 = r
Therefore, the radius of the circle is 2 units.
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