Unit 9 – Day 1 Homework Assignment
1. Read through and take notes from the following slides
2. Write down any questions you have while reading– Things you don’t understand– Definitions that sound confusing– etc
3. Write down and attempt to solve each example problem– Leave yourself room to show work
Unit 9 Essential Questions
• How do areas of similar polygons compare?
• How are the areas of polygons and circles related and applied?
Unit 9 Bonus Question• A farmer has a goat and he is trying to decide where to allow him to
graze.
• Option 1: He can be tethered to the side of a square 10ft by 10ft shed. The tethering rope is 18 feet long and tied to a post in the middle of one of the sides.
• Option 2: A 14 feet by 17 feet rectangular fenced in area. He has a rhombus shaped shed in the middle of the fence that has a diagonal length of 4 feet and 3 feet that the goat will not be allowed to enter.
• Which option should the farmer choose so the goat will have more area to graze? Provide mathematical reasoning behind your answer.
Today’s Objective
• Students will be able to find the perimeter, area, and circumference of polygons
Definitions
Perimeter: The distance around a figure (sum of all sides)
Area: The amount of square units inside a figure
Circumference: The distance around a circle
Area of a Rectangle
h
b
Area of a Square
s
s
Area of a Triangle
b
Area of a Circle
r
Circumference of a Circle
r
Ex. 1 Find area and perimeter
7 cm
4 cm
Ex. 2 Find the area and Circumference
14 cm
Ex 4 Find the area of the shaded region
Ex. 5 Find the area
Ex 6 Find the area
Ex 7 Find the area
Ex 8 Find the Area