Where do Area Formulas Come From?

Slides:



Advertisements
Similar presentations
Working with Shapes in Two Dimensions
Advertisements

Areas of Rectangles and Parallelograms Areas of Triangles, Trapezoids and Kites.
Volume of a Solid by Cross Section Section 5-9. Let be the region bounded by the graphs of x = y 2 and x=9. Find the volume of the solid that has as its.
Unit 13 Areas Presentation 1Formula for Area Presentation 2Areas and Circumferences of Circles Presentation 3Formula for Areas of Trapeziums, Parallelograms.
Chapter 9 Geometry © 2008 Pearson Addison-Wesley. All rights reserved.
$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.
8 th Grade Math Chapter 9b Review. Chapter 9b Review 1)Give the formulas for: a)area of a circle b) circumference of a circle.
5.1, 5.2, 5.3 Area, Perimeter, Circumference. Parallelograms Area & perimeter A = bh P = 2 l + 2 w Area & perimeter A = ½ bh P = add the exterior sides.
Unit 10 Review Area Formulas. FOR EACH FIGURE: IMAGINE the shape THINK of its AREA FORMULA.
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.
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.
Section 9-4 Perimeter, Area, and Circumference.
Bell Work Find the area of each figure. 5 in 9 in 13 in 6 in 16 in 22 in 10 in A = (13 + 9) 5 A = 11 5 A = (22) 5 A = 55 in² A = ( ) 10 A =
What shape is this? A. octagon B. parallelogram C. square D. hexagon E. triangle REMEMBER: A hexagon has 6 sides.
Areas of Triangles, Parallelograms, & Trapezoids.
Area.
Area & Perimeter. SHAPE OVERVIEW Rectangle Triangle Hexagon Trapezoid Square Parallelogram Pentagon Circle.
Do Now: Calculate the measure of an interior angle and a central angle of a regular heptagon.
CIRCUMFERENCE AND AREA
Area of Triangles and Trapezoids
Do Now What are the following formulas? Area of a Square: Area of a Rectangle: Area of a Parallelogram: Area of a Triangle: Area of a Trapezoid: Area of.
Hosted by Mr. Bagunolo Function Area Formula Circle, Rectangle, Square What if?
Area, Circumference & Perimeter
Areas of Parallelograms and Trapezoids Objective: Learn to find the area of parallelograms and trapezoids.
AREA / VOLUME UNIT FORMULAS.
Finding Perimeter and Area Review. Perimeter The distance around the outside of an object. 10 feet 8 feet 10 feet Perimeter = = 36 feet.
Area of Composite Figures
Area of Composite Figures
Perimeter and Area Formulas.  Perimeter is the distance around an object. It is easily the simplest formula. Simply add up all the sides of the shape,
Objective Students will solve practical area and perimeter problems involving composite plane figures.
Area Formulas Rectangle What is the area formula?
Warm up Give the formulas for how to find the area of a: Rectangle Triangle Circle Kite.
Formula Fun!! Due: March 12 th ½ BxHH(b1+b2 ) x r 2 (Pi) L x w B x h C A 3.14 x D (Pi)
8th Grade Math Chapter 9a Review
8th Grade Math Unit 8 Review
Welcome to RSP Math Mrs.Muljodiredjo.
Perimeter, Area, and Circumference
Objective: To find areas of regular polygons
Areas of Parallelograms and Trapezoids
Areas of Parallelograms and Trapezoids
Area of composite figures
Copyright © Cengage Learning. All rights reserved.
The size of a surface in square units
Area of Shapes.
Area of Composite Figures
UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM
Geometry 2 Dimensional Shapes.
Area and Perimeter 6th grade math.
Areas of Triangles, Quadrilaterals, and Circles
Areas of Triangles and Special Quadrilaterals
Knowledge of quantities / calculating areas
Warm Up: Find the circumference of the circle. Round to nearest hundredth 1. r = 3.4 m d = 9 cm Find the area of the figures. 3. Circle with.
Area of Composite Shapes
Teacher tube:.
Area of Rectangles and Parallelograms Guided Notes
1-5 Geometric Formulas Polygons
Unit 10: 2-Dimensional Geometry
Area Review.
Shapes.
Area Formula of a Square?
Area and Perimeter Ten quick questions.
Geometry Unit Formula Sheet
Area & Perimeter.
Area of Composite Figures
Friday, 24 May 2019 Formulae for Finding the Area of the Rectangle, Triangle, Parallelogram and Trapezium.
Area of Composite Figures
Areas of Parallelograms and Trapezoids
Area: Formulas and Derivations
Area Review.
Presentation transcript:

Where do Area Formulas Come From?

Important Terms: Base and Height Base and height always make a right angle.

The Rectangle: A Basic Shape The Basic Grid: 12 units2 A = bh

The Parallelogram A = bh

The Triangle A = ½ bh

The Trapezoid

Summary Area of a rectangle = bh Area of a square = s2 Area of a triangle = ½ bh Area of a trapezoid = ½ h(base 1 + base 2)

Area of a Circle A =πr2

Easy Way to Memorize Circle Formulas Circumference Formula Area Formula C =πd A =πr2 “Cherry pie’s delicious, apple pies are too”

What are the area formulas for these shapes? The Semicircle The Quarter-Circle