Question

The area of a quarter circle is 3.14 square meters. What is the quarter circle's perimeter? Use 3.14 for ​. please help me

Answer 1

`7.14 m`

Explanation:

Let x be the perimeter of the quarter circle.

Given:

The area of the quarter circle is
`3.14m^(2)`

We know area of the quarter circle is.

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

Area of the quarter circle is given and
`\pi` value is 3.14.

`3.14=(1)/(4)* 3.14* r^(2)`

`(3.14* 4)/(3.14)= r^(2)`

`r^(2) =4`

`r=2`

So, the radius of circle is
`2m^(2)`

The perimeter of the quarter circle is.

perimeter of quarter circle =
`2r+(\pi r)/(2)`

Put pie value is 3.14 and
`r=2m^(2)`} in above equation.

`x=2* 2 +(3.14* 2)/(2)`

`x=4 +(3.14* 2)/(2)`

`x=4+3.14`

`x=7.14`

Therefore, the perimeter of the quarter circle is 7.14 m.