Can anyone please tell me the number of degrees in the point angle of a {9/2} star polygon?
I count 9 stars, twice around , or 360*2/9=80deg
How did you get that? My choices are:
a- 340deg
b- 100deg
c- 20deg
d- 200deg
Certainly! To find the number of degrees in the point angle of a star polygon, we can use the formula:
Point angle = 180 * (1 - 2/n)
Here, 'n' represents the number of sides or vertices of the star polygon.
In this case, the star polygon you mentioned is a {9/2} star polygon, which means it has 9 sides with a fractional star figure. To simplify the fraction, we multiply both the numerator and denominator by 2:
{9/2} = {18/4}
So, 'n' in this case is 18. Plugging this value into the formula:
Point angle = 180 * (1 - 2/18)
= 180 * (1 - 1/9)
= 180 * (8/9)
= 160 degrees
Therefore, the point angle of the {9/2} star polygon is 160 degrees.