arjava1008 arjava1008
  • 02-02-2019
  • Mathematics
contestada

The area of a circle is equal to 1 dm². Find the radius of the circle.

Respuesta :

saltywhitehorse saltywhitehorse
  • 02-02-2020

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

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