Answer:
Exact circumference is [tex]7\frac{49}{150}km[/tex]
Approximate circumference is [tex]7.33 km[/tex]
Step-by-step explanation:
We are given;
- The diameter of a circle as [tex]2\frac{1}{3} km[/tex]
We are required to determine the exact and approximate circumference of the circle.
- We know that the circumference of the circle is given by;
- Circumference = πD, where D is the diameter
Taking π as 3.14
[tex]Circumference=3.14 (2\frac{1}{3}km)[/tex]
[tex]=7\frac{49}{150}km[/tex]
The exact circumference of the circle is [tex]7\frac{49}{150}km[/tex]
[tex]7\frac{49}{150}km=7.327 km\\ = 7.33 km (nearest hundredth)[/tex]
Thus, the approximate circumference of the circle is [tex]7.33 km[/tex]
