More on Area of Regular Polygons

More on Area of Regular Polygons

By Steven Giesting

Multiple Choice

What is the length of IR?

• 7 in

• $$7\ \sqrt[]{3}\ in$$  

• $$7\ \sqrt[\ ]{2}\ in$$  

• $$14\ \sqrt[]{2}\ in$$  

Multiple Choice

What is the length of $$\overline{IT}$$  ?

• 7 in

• $$7\ \sqrt[]{3}\ in$$  

• $$7\ \sqrt[\ ]{2}\ in$$  

• $$14\ \sqrt[]{2}\ in$$  

Fill in the Blanks

Find the area of the regular polygon shown. Each side is 7.3 and the apothem is 5

​Finding the Apothem

​What is the measure of each central angle of the polygon?

​

The apothem does what to the central angle?

​

The apothem does what to each side?

​

What is exact length of the apothem?​

​Find the Area of the Polygon Shown

Multiple Choice

What is the length of the apothem in the regular polygon?

• $$8\ \sqrt[]{3}$$  

• $$4\ \sqrt[]{2}$$  

• $$4\ \sqrt[]{3}$$  

• $$8\ \sqrt[]{2}$$  

Fill in the Blanks

What is the area of the regular polygon shown? Round to the nearest tenth

​We can also use the facts from earlier to find a side length given the apothem.

​If we know the apothem, what would the side of the hexagon measure?

Fill in the Blanks

How long is each side of the regular polygon shown?

Fill in the Blanks

What is the perimeter of the regular polygon shown?

Fill in the Blanks

What is the area of the regular polygon shown? Round to the nearest tenth