Question

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.)

Answer 1

The exact circumference of the circle is;

`8\pi\text{ miles}`

The approximate circumference of the circle is;

`25.12\text{ miles}`

Step-by-step explanation:

Given the circle in the attached image.

with radius;

`r=4\text{ mi}`

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

`C=2\pi r`

Substituting the given value of r;

`\begin{gathered} C=2*\pi*4\text{ mi} \\ C=8\pi\text{ mi} \end{gathered}`

Therefore, the exact circumference of the circle is;

`8\pi\text{ miles}`

For the approximate circumference.

`\pi=3.14`

substituting pi;

`\begin{gathered} C=8\pi\text{ miles} \\ C=8(3.14)\text{ miles} \\ C=25.12\text{ miles} \end{gathered}`

Therefore, the approximate circumference of the circle is;

`25.12\text{ miles}`