Respuesta :

Given :

The area of semicircle is given as 0.5652 sq.inches.

To find:

The diameter of semicircle which is denoted as d.

Explanation:

The area of semicircle is given as

[tex]A=\frac{\pi r^2}{2}[/tex]

The relation between radius and diameter is

[tex]d=2r[/tex]

Now substitute the given area in the area of semicircle formula.

[tex]0.5652=\frac{3.14\times r^2}{2}[/tex][tex]r=\sqrt[]{\frac{2\times0.5652}{3.14}}=\sqrt[]{0.36}[/tex][tex]r=0.6in[/tex]

The semicircle diameter is determined as

[tex]d=2r\Rightarrow2\times0.6=1.2in[/tex]

Answer:

Hence the diameter of semicircle is determined as 1.2 in.