Question 1

What is a regular polygon?

Accepted Answer

A regular polygon is a polygon with all sides and all angles equal. Examples include an equilateral triangle, square, regular pentagon, etc.

Question 2

How do you calculate the interior angle of a polygon?

Accepted Answer

The interior angle of a regular polygon is given by the formula: Interior Angle = (n - 2) × 180° / n, where n is the number of sides.

Question 3

What is the exterior angle of a polygon?

Accepted Answer

The exterior angle of a regular polygon is given by: Exterior Angle = 360° / n, where n is the number of sides.

Question 4

Do exterior angles always add up to 360°?

Accepted Answer

Yes, the sum of all exterior angles of any polygon, regular or irregular, is always 360°.

Question 5

How do you calculate the sum of interior angles?

Accepted Answer

The sum of the interior angles of a polygon is (n - 2) × 180°, where n is the number of sides.

Question 6

What is the relationship between interior and exterior angles?

Accepted Answer

For any regular polygon, Interior Angle + Exterior Angle = 180°.

Question 7

What happens as the number of sides increases?

Accepted Answer

As the number of sides increases, a regular polygon approaches the shape of a circle. Its interior angles get closer to 180°, while each exterior angle gets closer to 0°.

Polygon Explorer

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