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