It is one fifths.
The smallest number of degrees needed to rotate a regular pentagon around its center onto itself is 72 degrees. This is because a regular pentagon has five sides, and a full rotation is 360 degrees. Dividing 360 by 5 gives you the angle of rotation that maps the pentagon onto itself, which is 72 degrees.
55/72 of a circle.
One fifth... 1/5
225/360 or 45/72
The regular pentagon is the polygon that will carry itself onto itself when rotated by 72 degrees. This is because a pentagon has five equal sides and angles, and a rotation of 72 degrees corresponds to one-fifth of a complete turn (360 degrees). Each rotation by this angle aligns one vertex with the position of the next vertex, maintaining the polygon's symmetry.
The revolution of a fraction of 72 degrees can be calculated by dividing the fraction by 360 degrees, which is the total number of degrees in a full revolution. In this case, if we have 1/5 of 72 degrees, we would calculate (1/5) * 72 = 14.4 degrees. This represents the fraction of a full revolution that 72 degrees constitutes.
Oh honey, 72 degrees as a fraction is simply 4/5. It's not rocket science, just divide 72 by 90 (because there are 90 degrees in a right angle) and simplify it down. Voila, you've got yourself a fraction!
It is 1/5.
The smallest number of degrees needed to rotate a regular pentagon around its center onto itself is 72 degrees. This is because a regular pentagon has five sides, and a full rotation is 360 degrees. Dividing 360 by 5 gives you the angle of rotation that maps the pentagon onto itself, which is 72 degrees.
55/72 of a circle.
One fifth... 1/5
Well, honey, a pentagon has five sides, so the angle of rotation would be 360 degrees divided by 5, which gives you 72 degrees. So, if you want to twirl that pentagon around, just make sure to do it in 72-degree increments. Now go impress your friends with that little nugget of geometry knowledge!
225/360 or 45/72
Neptune has an uneven rotation that varies between 12 to 18 hours. I will use 15 hours as a midpoint. Neptune has 360 degrees total. Divide that by 15 and you get 24 degrees per hour. Multiply 24 by 3 and you get 72 degrees. So, based on 15 hour rotation time, Neptune will spin 72 degrees in just 3 hours.
Short answer: 72 degrees Longer answer: To rotate a star until it looks the same you need to make 1/5 of a complete 360 degree turn (since a star has 5 points). Sice 1/5 X 360 = 72, the answer is 72 degree angle rotation.
72 is an integer so the simplified fraction is 72/1
A regular pentagon has five sides, and its symmetry can be achieved by rotating it around its center. The smallest angle for such a rotation is 72 degrees, which is calculated by dividing 360 degrees by the number of sides (360°/5 = 72°). This rotation aligns one vertex with the position of the next vertex, maintaining the pentagon's symmetry.