Respuesta :

Answer:

The radius of the circle is 0·564 dm

Step-by-step explanation:

Area of a circle is  [tex]\pi r^{2}[/tex]

[tex]\pi =[/tex] 3·1416

r  [tex]=[/tex] Radius

so , [tex]\pi r^{2} =[/tex] 1 dm²

[tex]([/tex] 3·1416 [tex])[/tex] × [tex]r^{2}[/tex] [tex]=[/tex] 1 dm²

Divide the 3·1416 both the side

[tex]r^{2}[/tex] [tex]=[/tex] 1 ÷ 3·1416 dm²

[tex]r^{2} =[/tex] 0·3183 dm²

[tex]r = \sqrt{0.3183 dm^{2}[/tex]

r [tex]=[/tex] 0·564 dm

so , The radius of the circle is 0·564 dm