Regular Polygons

Regular Polygons

By Scott Donnelly

Open Ended

What do you know about a square?

Regular Polygons

Definition

A regular polygon is a polygon where all the sides are the same AND all the angles are the same.

Example: Square​

Open Ended

Explain how you can find each interior angle of a regular pentagon?

Formula

Steps

1. Find the sum of the angles.

2. Divide by the number of sides​

Geometry

​Finding Number of Sides

If given the measure of each angle of a polygon, then we would have to solve for.

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Subject | Subject

Some text here about the topic of discussion

Find number of sides of a regular polygon, if each interior angle is 144.

Example

1. Plug in angle for a.

2. Multiply each side by the bottom n, to cancel out

3. ​Distribute on the right side

4. Get ns on same side

5. Solve for n.​

​Steps

Problem

Draw

If each interior of a regular polygon is 150, How many sides does shape have?

Fill in the Blanks

What is the sum of the exterior of a 15-gon equal?

Open Ended

Explain how you can find each exterior angle of a regular pentagon?

Regular Polygons

​Exterior Angles

Draw

What does each exterior angle of a pentagon (5 sided shape) equal?