Question

If the smallest angle of rotation for a regular polygon is 18°, how many sides does the polygon have?

A) 10
B) 12
C) 20
D) 24

Answer 1

To find the number of sides in a regular polygon with the smallest angle of rotation of 18°, divide 360° by 18° to get 20 sides, corresponding to option C.

Step-by-step explanation:

To determine the number of sides a regular polygon has based on the smallest angle of rotation, we can use the formula for the angle of rotation of a regular polygon, which is 360° divided by the number of sides (n). Since the smallest angle of rotation in this question is given as 18°, we set up the equation:

360° / n = 18°

To find n, the number of sides, we divide 360° by 18°:

n = 360° / 18°

n = 20

The regular polygon thus has 20 sides, which corresponds to option C) 20 in the given multiple-choice answers.