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Section 9-4 Perimeter, Area, and Circumference
Perimeter, Area, and CircumferencePerimeter of a Polygon Area of a Polygon Circumference of a Circle Area of a Circle
Perimeter of a Polygon The perimeter of any polygon is the sum of the measures of the line segments that form its sides. Perimeter is measured in linear units.
Perimeter of a TriangleThe perimeter P of a triangle with sides of lengths a, b, and c is given by the formula P = a + b + c. b a c
Perimeter of a RectangleThe perimeter P of a rectangle with length l and width w is given by the formula P = 2l + 2w, or equivalently P = 2(l + w). l w
Perimeter of a Square s sThe perimeter P of a square with all sides of length s is given by the formula P = 4s. s s
Area of a Polygon The amount of plane surface covered by a polygon is called its area. Area is measured in square units.
Area of a Rectangle The area A of a rectangle with length l and width w is given by the formula A = lw. l w
Example: Rectangle SolutionFind the perimeter and area of the rectangle below. 15 ft. Solution 7 ft. Perimeter P = 2l + 2w = 2(15) + 2(7) = 44 ft. Area A = lw = 15(7) = 105 ft.2
Area of a Square The area A of a square with all sides of length s is given by the formula A = s2. s s
Area of a ParallelogramThe area A of a parallelogram with height h and base b is given by the formula A = bh. h b
Area of a Trapezoid The area A of a trapezoid with parallel bases b and B and height h is given by the formula b h B
Example: Area of a ParallelogramFind the area of the trapezoid below. 7 cm. 5 cm. Solution 13 cm.
Area of a Triangle The area A of a triangle with base b and height h is given by the formula h b
Example: Area With Multiple ShapesFind the area of the shaded region below. 4 in. Solution 4 in. Area of square – Area of triangle
Circumference of a CircleThe distance around a circle is called its circumference.
Circumference of a CircleThe circumference C of a circle of diameter d is given by the formula. or equivalently r d where r is a radius.
Area of a Circle The area A of a circle with radius r is given by the formula. r
Example: Circle SolutionFind the area and circumference of a circle with a radius that is 6 inches long (use 3.14 as an approximation for pi). Solution Circumference Area
Working with Shapes in Two Dimensions
9.4 – Perimeter, Area, and Circumference
Area & Perimeter Area of a rectangle = Area of a triangle = Area of a parallelogram = Area of a trapezium =
Using Formulas in Geometry
Perimeter and Area Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.
Preview Warm Up California Standards Lesson Presentation.
Perimeter & Area Section 6.1.
Objective: find the area of geometric figures and shaded regions. What area formulas must be memorized?
You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.
Lesson 8.1: Perimeter and Circumference
Chapter 9 Geometry © 2008 Pearson Addison-Wesley. All rights reserved.
Target Apply formulas for perimeter, area, and circumference.
Area & Perimeter.
$100 Area of Parallelograms Area of Triangles Perimeter And Area Area of Trapezoids Area of Compound Figures & Area and Circumference of Circles $200.
© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 9-3 Perimeter, Area, and Circumference.
Area of Composite Shapes We are learning to…find the area of composite shapes (shapes made up of more than one figure). Tuesday, August 25, 2015.
Areas and Volume Area is a measure of the surface covered by a given shape Figures with straight sides (polygons) are easy to measure Square centimetres:
Perimeter and Area o Perimeter is the distance around the outside of a flat object. o Area is the amount of surface space that a flat object has.
Area of Composite Shapes We are learning to…find the area of composite shapes (shapes made up of more than one figure). Monday, September 07, 2015.
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