Question

The circumference of a circle is numerically equal to its area. Find the area and circumference of the circle.

Answer 1

Let the radius of a circle = r cm
⇒ Circumference of a circle = 2πr cm
Area of a circle = πr²
Now,
Circumference of a circle
= Area of a circle
⇒  2πr = πr²
⇒ 2 = r
Thus, we have
Area of a circle
= πr²
= 3.14 x 2 x 2
= 12.56cm²
Circumference of a circle
= Area of a circle
= 12.56cm².