1 / 9

Notes 76: 11.6 Areas of Regular Polygons

Notes 76: 11.6 Areas of Regular Polygons. THEOREM 11.11: AREA OF A REGULAR POLYGON. The area of a regular n- gon with side length s is half the product of the apothem, a, and the perimeter, P, so A = , or A = a P. Find angle measures in a regular polygon.

timothy-bradshaw
Download Presentation

Notes 76: 11.6 Areas of Regular Polygons

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Notes 76: 11.6 Areas of Regular Polygons

  2. THEOREM 11.11: AREA OF A REGULAR POLYGON • The area of a regular n-gon with side length s is half the product of the apothem, a, and the perimeter, P, soA = , or A = aP

  3. Find angle measures in a regular polygon • In the diagram, ABCDEF is a regular hexagon inscribed in G. Find each angle measure. • m  EGF • m  EGH c. m  HEG

  4. Find the measure of a central angle of a regular polygon with the given number of sides. Round answers to the nearest tenth of a degree, if necessary. • 15 sides • 32 sides

  5. A regular octagon has a radius of 11.5 inches. What is the length of its apothem? Round your answer to the nearest tenth.

  6. Find the area of a regular polygon • A wooden coaster is a regular octagon with 3 centimeter sides and a radius of about 3.92 centimeters. What is the area of the coaster?

  7. Find the perimeter and area of a regular polygon • A regular nonagon is inscribed in a circle with radius 5 units. Find the perimeter P and area A of the nonagon.

  8. Find the area of the shaded region. Round answers to the nearest tenth, if necessary

  9. Find the area of the shaded region. Round answers to the nearest tenth, if necessary

More Related