Answer:
There are 18572.9 arcminutes in 86% of a circle.
Explanation:
The degrees in 86% of a circle is:
[tex] degrees = \frac{86}{100}*360 = 309.6 ^{\circ} [/tex]
Now, we need to find the number of arcminutes in 309.6°:
[tex] arcminute = \frac{59.99 arcminute}{1 degree}*309.6 degrees = 18572.9 [/tex]
Therefore, there are 18572.9 arcminutes in 86% of a circle.
I hope it helps you!