Polygons and Diagonals

Front

How many diagonals does a polygon with n sides have?

Back

The formula for the number of diagonals in a polygon is given by: Diagonals = n(n-3)/2.

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Tags

CCSS.2.G.A.1

Front

What is the sum of the interior angles of a polygon with n sides?

Back

The sum of the interior angles of a polygon is given by the formula: (n-2) × 180°.

Front

How many sides does a nonagon have?

Back

A nonagon has 9 sides.

Tags

CCSS.2.G.A.1

Front

What is the measure of each exterior angle of a regular polygon?

Back

Each exterior angle of a regular polygon can be calculated using the formula: 360°/n, where n is the number of sides.

Front

How many diagonals does a 400-gon have?

Back

A 400-gon has 79400 diagonals.

Front

What is the sum of the interior angles of a nonagon?

Back

The sum of the interior angles of a nonagon is 1,260°.

Front

How many diagonals does an 80-gon have?

Back

An 80-gon has 3080 diagonals.

Front

In the diagonal formula, what does (n-3) represent?

Back

It represents the number of diagonals just from one vertex.

Front

As the number of sides of a polygon increases, what happens to each exterior angle?

Back

Each exterior angle gets smaller.