Question

Find the area of a circle with a circumference of 6.28 units.
_______units^2

Answer 1

Area of the circle=
`3.14units^2`

Explanation:

Circumference of the circle=6.28 units

Finding the radius:

Circumference of a circle =
`2*\pi *r`

`6.28=2*\pi *r\\`

As,
`\pi =(22)/(7)=3.14`

So,

`6.28=2*3.14*r`

`6.28=6.28*r`

Dividing by '6.28' both side:

`r=6.28/6.28`

`r=1unit`

Area of the circle=
`\pi *r*r`

`=3.14*1*1\\\\=3.14*1\\\\=3.14units^2`

Area of the circle=
`3.14units^2`