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Geometry Review

This comprehensive guide covers the key concepts of geometry related to regular polygons and circles. Learn how to calculate the measure of each interior and exterior angle of a regular polygon, determine the number of sides of a polygon based on given angles, and find the area and perimeter of various shapes including circles, triangles, and pentagons. Examples include calculating the perimeter from the diagonal of a square and finding the area of shaded regions and sectors. Perfect for math students and geometry enthusiasts!

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Geometry Review

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  1. Geometry Review AREA

  2. Find the measure of each interior angle of the regular polygon shown below.

  3. Find the measure of each exterior angle of a 36 sided regular polygon.

  4. Find the number of sides of the full regular polygon if a part is shown below. 144º

  5. 4 8 Find the Perimeter

  6. Find the Perimeter 4 8

  7. Find the Perimeter 8 5 4

  8. Find the Perimeter of circle p . p 8

  9. Find the Perimeter 8 5 7

  10. Find the Area. 5 8

  11. Find the Area. 8

  12. Find the Area. 6 8

  13. Find the Area. 5 8 16

  14. Find the Area. 16 8 5 5

  15. Find the Area. 4 4 12 10

  16. Find the Area of the circle. 6

  17. Find the Area of the regular pentagon. 6 8

  18. Find the area of the shaded region 2 6 8

  19. 8 Find the Area of the regular triangle.

  20. Find the Area of the sector 5 60o

  21. Find the length of the arc AB B 5 60o A

  22. The diagonal of a square is 6. What is the measure of its perimeter?

  23. The diagonal of a square is 9. What is the measure of its perimeter?

  24. Find the area and perimeter of the following regular triangle. 5

  25. Find the area of the regular figure below

  26. How many sides does a regular polygon have if an interior angle is 135?

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