MableI421469 MableI421469
  • 03-11-2022
  • Mathematics
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What is the radius of a circle with circumferenceC= 40 CM

What is the radius of a circle with circumferenceC 40 CM class=

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BreysonP417568 BreysonP417568
  • 03-11-2022

Solution:

The circumference C, of a circle is;

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

Given;

[tex]C=40cm,\pi=3.14[/tex]

The radius r, is;

[tex]\begin{gathered} 40=3.14(r^2) \\ \text{Divide both sides by 3.14} \\ \frac{40}{3.14}=\frac{3.14(r^2)}{3.14} \\ r^2=12.74 \\ \text{Take the square root of both sides;} \\ \sqrt[]{r^2}=\sqrt[]{12.74} \\ r=3.57 \end{gathered}[/tex]

The radius of the circle is 3.57cm

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