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Find the area of the following regular polygons. Round all answers to nearest 10th. 7. 8. 9. 16 CO

Find the area of the following regular polygons. Round all answers to nearest 10th. 7. 8. 9. 16 CO

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Find the area of the following regular polygons.  Round all answers to nearest 10th.

## Find the area of the following regular polygons. Round all answers to the nearest 10th. ### Problem 7: A triangle with one side length of 1 unit. A perpendicular height is shown from the side to the opposite vertex. ### Problem 8: A regular polygon with 8 sides (octagon). The apothem (the perpendicular distance from the center to a side) is labeled as 16 units. ### Problem 9: A regular polygon with 6 sides (hexagon). The apothem is labeled as 8 units. --- ### Explanation of Graphs or Diagrams: - **Diagram in Problem 7:** - A triangle with a side labeled as 1 unit. - A line segment from the side to the opposite vertex is depicted perpendicular to the side, indicating the height used in finding the area. - **Diagram in Problem 8:** - An octagon (8 sides) with an apothem colored as 16 units from the center of the polygon to a side. - **Diagram in Problem 9:** - A hexagon (6 sides) with an apothem shown as 8 units from the center of the polygon to a side. --- **Instruction to Students:** Use the given side lengths and apothem values to calculate the area of each polygon. Remember to round your answers to the nearest 10th.
Transcribed Image Text:## Find the area of the following regular polygons. Round all answers to the nearest 10th. ### Problem 7: A triangle with one side length of 1 unit. A perpendicular height is shown from the side to the opposite vertex. ### Problem 8: A regular polygon with 8 sides (octagon). The apothem (the perpendicular distance from the center to a side) is labeled as 16 units. ### Problem 9: A regular polygon with 6 sides (hexagon). The apothem is labeled as 8 units. --- ### Explanation of Graphs or Diagrams: - **Diagram in Problem 7:** - A triangle with a side labeled as 1 unit. - A line segment from the side to the opposite vertex is depicted perpendicular to the side, indicating the height used in finding the area. - **Diagram in Problem 8:** - An octagon (8 sides) with an apothem colored as 16 units from the center of the polygon to a side. - **Diagram in Problem 9:** - A hexagon (6 sides) with an apothem shown as 8 units from the center of the polygon to a side. --- **Instruction to Students:** Use the given side lengths and apothem values to calculate the area of each polygon. Remember to round your answers to the nearest 10th.
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