Angles in a Regular Polygon
In this activity you are going to explore the sum of angles in different regular polygons.
Use the slider to change the number of sides in our regular polygon.
What is the interior angle for a regular pentagon?
How does the Hint help you work this out?
How is the Hint calculated?
Calculate the interior angles for more regular polygons, and record your findings (use the spreadsheet provided at the bottom of the page).
What is the sum of the interior angles in a regular n sided polygon? Explain your answer.
What is the sum of the angles in any 12 sided polygon? Explain you answer.
Use the slider to change the number of sides in our regular polygon.
What is the interior angle for a regular pentagon?
How does the Hint help you work this out?
How is the Hint calculated?
Calculate the interior angles for more regular polygons, and record your findings (use the spreadsheet provided at the bottom of the page).
What is the sum of the interior angles in a regular n sided polygon? Explain your answer.
What is the sum of the angles in any 12 sided polygon? Explain you answer.
Ideas for Teachers
This activity makes an ideal homework for students to investigate the concept of interior and exterior angles. A discussion at the beginning of the next lesson (for example on the question about any 12 sided shape) will then reinforce the learning from the investigation.
Alternatively, you could do this investigation in a computer lesson.
This activity makes an ideal homework for students to investigate the concept of interior and exterior angles. A discussion at the beginning of the next lesson (for example on the question about any 12 sided shape) will then reinforce the learning from the investigation.
Alternatively, you could do this investigation in a computer lesson.
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polygon_angles_recording.xls  
File Size:  32 kb 
File Type:  xls 