2/9 = 0.2222(repeating)
I hope this helps :)
First of all i think theres a mistakein the question;
i think it is sin θ =

and then sin 30° =

thus θ= 30°
Getting the central area of a polygon is not possible. Probably the question refers to the central angle. In a a regular polygon, getting the central angle is that you need to use the formula.
Central Angle of a polygon = 360 degrees / number of sides of a polygon.
Why 360 degrees? Because, a circle has a total of 360 degrees. And a circle is a polygon with no sides.
<h3>
Answer: Choice D</h3>
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Explanation:
The first figure has 4 sides (quadrilateral)
The second figure has 5 sides (pentagon)
The third figure has 6 sides (hexagon)
Each time we increase the number of sides by 1.
The fourth figure must have 7 sides (heptagon). The only thing that has 7 sides is the figure listed in choice D.
Answer:

Step-by-step explanation:


