The area of a circle is numerically equal to its circumference. Find the diameter of the circle.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 4 unit
The area of a circle is \(\pi r^2\) and its circumference is \(2\pi r\). Setting the two equal fixes the radius.
Area equal to circumference: \(\pi r^2=2\pi r\)
Radius: \(r=2\) (as \(r\ne0\))
Diameter \(=2r=4\) units