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  • 24-03-2020
  • Mathematics
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A semicircle has an area of 76.97 squared km. Find it’s radius

Respuesta :

noelleista
noelleista noelleista
  • 24-03-2020

Answer:

7 km

Step-by-step explanation:

Substitute:

The equation for area of a semi-circle is [tex]\frac{r^{2}\pi }{2}[/tex]

A =  [tex]\frac{r^{2}\pi }{2}[/tex]

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

Multiply by 2 on both sides:

2(76.97) = ( [tex]\frac{r^{2}\pi }{2}[/tex])2

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

Divide by pi on both sides:

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

/pi           /pi

49.03 ≈ [tex]r^{2}[/tex]

Find the square root:

[tex]\sqrt{49.03} =\sqrt{r^{2} }[/tex]

7 = r

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