Respuesta :
Answer:
The circumference of the circle is 6 cm (approximately).
Step-by-step explanation:
Given:
Area of the circle = 1/4π²
Now, to get the circumference of the circle we need the radius.
So, finding the radius by putting the formula of area:
Area = [tex] \pi r^{2}[/tex]
[tex]\frac{1}{4} \pi ^{2}[/tex] = [tex] \pi r^{2}[/tex]
dividing π by both sides:
[tex]\frac{1}{4}\pi[/tex][tex]=r^{2}[/tex]
using square root on both the sides:
[tex]\frac{1}{2}\sqrt{\pi } = r[/tex]
So, the radius is [tex]\frac{1}{2}\sqrt{\pi } [/tex]
Now, putting the formula of circumference:
[tex]circumference=2\pi r[/tex]
=[tex]2\pi\frac{1}{2} \sqrt{\pi}[/tex]
=[tex]\pi \sqrt{\pi}[/tex]
putting the value of π =3.14
=[tex]3.14\times\sqrt{3.14}[/tex]
=[tex]3.14\times1.77[/tex]
=[tex]5.56[/tex]
Circumference = 5.56 cm
Therefore, the circumference of the circle is 6 cm (approximately).
