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Mademuasel [1]
3 years ago
11

An earthquake was felt throughout a circular area of 1808.64 Square miles what was the radius of the circular area

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Answer:

A

Step-by-step explanation:

The area of a circle is given by the formula:

A=\pi r^2

Where <em>A</em> is the area and <em>r</em> is the radius.

Since we already know the area, we can plug it in and solve for <em>r</em>. Thus:

1808.64=\pi r^2\\

Divide both sides by π. We can use 3.14 as an approximation. The πs on the right cancel out:

1808.64\div(3.14)=r^2\\r^2=576

Take the square root of each side:

\sqrt{r^2}=\sqrt{576}

The squares on the left cancel. The root of 576 is 24:

r=24

Therefore, the radius is 24.

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