Question

Find the circumference of the circle with 1/4 Pi square centimetre square 2​

Answer 1

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 = $\pi r^{2}$

$\frac{1}{4} \pi ^{2}$ = $\pi r^{2}$

dividing π by both sides:

$\frac{1}{4}\pi$$=r^{2}$

using square root on both the sides:

$\frac{1}{2}\sqrt{\pi } = r$

So, the radius is $\frac{1}{2}\sqrt{\pi }$

Now, putting the formula of circumference:

$circumference=2\pi r$

                              =$2\pi\frac{1}{2} \sqrt{\pi}$

                              =$\pi \sqrt{\pi}$

putting the value of π =3.14

                              =$3.14\times\sqrt{3.14}$

                              =$3.14\times1.77$

                              =$5.56$

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).