Unit 1 Lesson 7 Perimeter, Area and Circumference
Unit 1 Lesson 7: Perimeter, Area and Circumference
Lesson Overview
Area and Circumference (and Radius)
What You Will Learn
- How to measure objects of different shapes and sizes, but all take space on a flat surface.
Overview
In this lesson, you will learn how to measure and describe how objects take up space on a flat surface. You will show your understanding by measuring shapes in a coordinate plane.
Essential Understanding
Perimeter and Area are two different ways of measuring geometric figures. The perimeter P of a polygon is the sum of the lengths of its sides. The Area A of a polygon is the number of square units it encloses. When measuring Area, you use square units. (in.2, ft.2, yd.2, etc.)
This course is based on a textbook that is viewable by clicking on the textbook icon. Keep the textbook open while you go through the lesson so that you may refer to it throughout the lesson.
Additional Resources
Lesson 7 Perimeter, Area and Circumference
Additional Resources (Perimeter, Area and Circumference)
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Prepare for Application
Instructions
You have now studied Exploring Angle Pairs. It is now time to demonstrate your learning.
Try the activities below on your own. You should be able to answer these before beginning the practice.
Do these activities in your journal.
Activity 1
You want to frame a picture that is five in. by seven in. with a 1-in.-wide frame.
- What is the perimeter of the picture?
- What is the perimeter of the outside edge of the frame?
Activity 2
- What is the circumference of a circle with a radius of 24 m in terms of π?
- What is the circumference of a circle with a diameter of 24 m to the nearest tenth?
Graph the quadrilateral JKLM with vertices J(-3, -3), K(1, -3), L(1, 4), and M(-3, 1). What is the perimeter of JKLM?
You are designing a poster three yd wide and 8 ft high. How much paper do you need to make the poster? Give your answer in square feet.
Activity 5
The diameter of a circle is 14 ft.
- What is the Area of the circle in terms of π?
- What is the area of the circle using an approximation of π?
- What approximation of π did you use in part (b)? Why did you choose that approximation?
Activity 6
- Refer to the example in problem six on page 63. What is another way to separate the figure?
- What is the Area of the figure?
