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

Answer:

$7.14 m$

Step-by-step 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.

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

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

$3.14=\frac{1}{4}\times 3.14\times r^{2}$

$\frac{3.14\times 4}{3.14}= r^{2}$

$r^{2} =4$

$r=2$

So, the radius of circle is $2m^{2}$

The perimeter of the quarter circle is.

perimeter of quarter circle = $2r+\frac{\pi r}{2}$

Put pie value is 3.14 and $r=2m^{2}$} in above equation.

$x=2\times 2 +\frac{3.14\times 2}{2}$

$x=4 +\frac{3.14\times 2}{2}$

$x=4+3.14$

$x=7.14$

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