Answer:
11565 km
Step-by-step explanation:
The computation is shown below:
But before reaching the final solution first we need to do the following calculations
The angle lies between the Galapagos and Nauru is
= 90° + 166.50°
= 256.5°
Since the sum of angle is 360 degrees
So the major arc and the minor arc is
= 360° - 256.5°
= 103.50°
Now the angles lies between galapagos islands is
= 180° - 90°
= 90°
And, between the naura island is
= 180° - 166.50°
= 13.5°
Now the total of this two island is
= 90° + 13.5°
= 103.5°
The length is
[tex]= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}[/tex]
= 11565 km
