Answer:
C = 1256.63 miles
Explanation:
This problem is solved by using the following formula for the relation between the arc length of a circle and its radius:
[tex]s=r\theta[/tex]
s: arc length
r: radius
In this case "s" is 600 miles, and the angle of the arc length is 3°. With this information you can calculate the radius of the planet X:
[tex]r=\frac{s}{\theta}=\frac{600miles}{3\°}}=200\ miles[/tex]
With the value of the radius of the planet you can calculate the circumference, by using the following formula:
[tex]C=2\pi r=2\pi (200\ miles)=1256.63\ miles[/tex]
