mkjumaimah
mkjumaimah mkjumaimah
  • 03-06-2021
  • Mathematics
contestada

The area of a circle is 43.25cm2.
Find the length of the radius rounded to 2 DP.

Respuesta :

theleangreenbean
theleangreenbean theleangreenbean
  • 03-06-2021

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius

Plug in the area 43.25 cm²

[tex]43.25=\pi r^2[/tex]

Divide both sides by π to isolate r²

[tex]\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2[/tex]

Take the square root of both sides to isolate r

[tex]\sqrt{\frac{43.25}{\pi}} =r\\3.71=r[/tex]

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

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