Bellwork

Anna wants to completely cover the rectangular ceiling of her room with soundproof tile so she can play her stereo as loudly as she wants. Her ceiling is 16 feet long and 10 feet wide. The tiles are 2-foot-by-2-foot squares. How many tiles does Anna need to cover her ceiling with one layer of soundproof tiles?

11.5 Area of Regular Polygons

Students will be able to find the area of regular triangles, quads & hexagons.

Discover the formula!

Anatomy of a regular polygon

Apothem

Area of a Regular Polygon (Toolbox!)

Example 1

Find the area of the regular polygon below.

Example 2

Find the apothem of a square with area of 576 sq m.

What’s the radius of the same square?

Example 3

Find the area of a square with radius 8 cm.

Example 4

Find the area of an equilateral triangle with a radius of 6 in.

Example 5

Find the area of an equilateral triangle with apothem 4.

Homework

Pg. 533 #2 – 6--a & c only, 7, 9, 10, 13Quiz NEXT Friday over 11.5 -11.7

Bellwork

What is the area, in square centimeters of the largest circle that can fit within a rectangle measuring 6 cm by 8 cm? Leave your answer in terms of pi.

PS. This was an ACT question from the practice.