Answer:
[tex]C\approx 5.14[/tex]
Step-by-step explanation:
The circumference is the distance around a complete circle: in essence, the perimeter of a circle. The formula to find the circumference of a circle is the following:
[tex]C=(d)(\pi)[/tex]
Where (d) represents the diameter, the largest cord that can be drawn in a circle, it goes from one end to another, passing through the center of the circle. The parameter ([tex]\pi[/tex]) represents the number (3.1415...). However, one is given a semicircle, thus one must divide the result in two, and then add the value of the diameter to find the perimeter of the given object. Therefore the equation for the circumference of this circle is as follows:
[tex]C=\frac{(d)(\pi)}{2}+(d)[/tex]
Substitute in the given value,
[tex]C=\frac{(2)(3.1415)}{2}+(2)[/tex]
Simplify,
[tex]C=3.1415...+2[/tex]
[tex]C=5.1415[/tex]
[tex]C\approx 5.14[/tex]
