ElanH406383 ElanH406383
  • 03-11-2022
  • Mathematics
contestada

Find the approximated area of a circle whose circumference is 7.85.

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BraelynnX693551 BraelynnX693551
  • 03-11-2022

The formula of the circumference of a circle is given by:

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

Where r is the radius.

By replacing the C-value, we can solve for r:

[tex]\begin{gathered} 7.85=2\pi r \\ r=\frac{7.85}{2\pi} \\ r=1.25 \end{gathered}[/tex]

Now, the formula of the area is given by:

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

Replace the r-value and solve for A:

[tex]\begin{gathered} A=\pi(1.25)^2 \\ A=\pi\cdot1.56 \\ A=4.91 \end{gathered}[/tex]

The area of the circle is 4.91

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