calculating the smallest angle of rotational symmetry\nwhat is the smallest angle of rotational symmetry for…
calculating the smallest angle of rotational symmetry\nwhat is the smallest angle of rotational symmetry for the regular octagon?
Answer
Explanation:
Step1: Recall the formula
The formula for the smallest angle of rotational symmetry of a regular (n) - sided polygon is (\theta=\frac{360^{\circ}}{n}).
Step2: Identify (n) for octagon
A regular octagon has (n = 8) sides.
Step3: Calculate the angle
Substitute (n = 8) into the formula: (\theta=\frac{360^{\circ}}{8}=45^{\circ}).
Answer:
(45^{\circ})