13 stars evenly placed around an eight and three-quarter inch circle

Question

I am I am making a Betsy Ross flag I have a circle that is eight and three-quarter inch in diameter I need to know what size each star needs to be and what distance between each star so that I can have 13 stars evenly placed around the circle

Answer 1

Circumference = pi * D = pi * 8.75

= (22/7)(35/4) <---- pi=22/7 and 8 and 3/4 = 8.75 = 35/4

= 22*5/4 <-- 35 cancels 5

= 11*5/2 <--- 22 cancels 4 by factor of 2

= 55/2

= 27.5 = 27 and 1/2

55/2 divided by 13 = 55/2 * 1/13 = 55/26 = 2 and 3/26

55/2 is the entire circumference , or 360 degrees

55/26 is the arc-length from one star to the next for ??? degrees

55/2 in proportion to 360

equals

55/26 in proportion to ???

cross multiplies (55/2)*??? = (55/26)*360

??? = (55/26)* 360 * (2/55)

= 720/26

= 360/13

= 27 and 9/13 degrees

The stars are 55/26 inches apart which is 27 and 9/13 degrees