Question

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

The circumference of the circle is 6 cm (approximately).

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)`

`(1)/(4) \pi ^(2)` =
`\pi r^(2)`

dividing π by both sides:

`(1)/(4)\pi`
`=r^(2)`

using square root on both the sides:

`(1)/(2)√(\pi ) = r`

So, the radius is
`(1)/(2)√(\pi )`

Now, putting the formula of circumference:

`circumference=2\pi r`

=
`2\pi(1)/(2) √(\pi)`

=
`\pi √(\pi)`

putting the value of π =3.14

=
`3.14*√(3.14)`

=
`3.14*1.77`

=
`5.56`

Circumference = 5.56 cm

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