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

• $$7\ \sqrt[]{3}\ in$$  

• $$7\ \sqrt[\ ]{2}\ in$$  

• $$14\ \sqrt[]{2}\ in$$  

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​Finding the Apothem

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

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The apothem does what to the central angle?

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The apothem does what to each side?

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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?

• $$8\ \sqrt[]{3}$$  

• $$4\ \sqrt[]{2}$$  

• $$4\ \sqrt[]{3}$$  

• $$8\ \sqrt[]{2}$$  

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​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?

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