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Find the circumference of the circle. Give the exact circumference and then an approximation. Use I x 3.14. 4 mi The exact circumference of the circle is square miles (Simplify your answer. Type an exact answer in terms of it. The approximate circumference of the circle is miles (Type a whole number or a decimal rounded to the nearest hundredth.)

Find the circumference of the circle Give the exact circumference and then an approximation Use I x 314 4 mi The exact circumference of the circle is square mil class=

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Answer:

The exact circumference of the circle is;

[tex]8\pi\text{ miles}[/tex]

The approximate circumference of the circle is;

[tex]25.12\text{ miles}[/tex]

Explanation:

Given the circle in the attached image.

with radius;

[tex]r=4\text{ mi}[/tex]

Recall that the circumference of a circle can be calculated using the formula;

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

Substituting the given value of r;

[tex]\begin{gathered} C=2\times\pi\times4\text{ mi} \\ C=8\pi\text{ mi} \end{gathered}[/tex]

Therefore, the exact circumference of the circle is;

[tex]8\pi\text{ miles}[/tex]

For the approximate circumference.

[tex]\pi=3.14[/tex]

substituting pi;

[tex]\begin{gathered} C=8\pi\text{ miles} \\ C=8(3.14)\text{ miles} \\ C=25.12\text{ miles} \end{gathered}[/tex]

Therefore, the approximate circumference of the circle is;

[tex]25.12\text{ miles}[/tex]

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