Composite Figures A composite figure is formed from two or more figures. To find the area of a composite figure: Find the areas of each figure then add.

Slides:

Advertisements

Similar presentations

1.7 Composite Figures A composite figure is formed from two or more figures. To find the area of a composite figure: Find the areas of each figure then.

Advertisements

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Objective: find the area of geometric figures and shaded regions. What area formulas must be memorized?

Area and Perimeter of Composite Figures Review

Final Exam Rooms: Wednesday, June 10, :30 – 9:00 am.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

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.

Section 9-4 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). Monday, September 07, 2015.

9-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

Warm Up Find the area of each figure.

Estimating and Finding Area Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

11 – 5 Volumes of Pyramids & Cones

8-5 Area of Composite Figures Learn to break a polygon into simpler parts to find its area.

Shaded Area/ Word Problems

2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Area of Quadrilaterals and Triangles.

9-6 Area of Irregular Figures Course 2 Math Minute Math Minute Lesson Presentation Lesson Presentation Vocabulary.

Warm Up Find the area of the following figures.

CIRCUMFERENCE AND AREA

1.7 - Find Perimeter, Circumference, and Area. Perimeter: Length around a shape. Measured in u cm, in, ft, yd.

Area of Complex Figures

Warm Up Find the area of each figure.

Holt CA Course Area of Composite Figures Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.

9-6 Area of Irregular Figures Warm Up Find the area of the following figures. 1. A triangle with a base of 12.4 m and a height of 5 m 2. A parallelogram.

Area of a Parallelogram

1.7 - Find Perimeter, Circumference, and Area. Perimeter: Length around a shape. Measured in u cm, in, ft, yd.

The figure is composed of a right triangle and a semi-circle. What is the area of the shaded region? The figure is not drawn to scale. 7 in 24 in.

Holt CA Course Area of Composite Figures MG2.2 Estimate and compute the area of more complex or irregular two-and three- dimensional figures by breaking.

Holt Geometry 9-3 Composite Figures Warm Up Find the area of each figure. 1. a rectangle in which b = 14 cm and h = 5 cm 2. a triangle in which b = 6 in.

9-3 Composite Figures Holt Geometry.

Holt McDougal Geometry 10-3 Composite Figures 10-3 Composite Figures Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.

Perimeter, Circumference and Area. Perimeter and Circumference Perimeter : The distance around a geometric figure. Circumference: The distance around.

Half the circumference

Holt Geometry 9-3 Composite Figures Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Opening Activity 1. Find the area of a circle with a radius of 5 cm. A=(3.14)(5)(5) 2. What is the area of a semicircle with radius of 14 yd?

20) 108° 21) 80° 22) 70° 23) 123° 24) 38° 25) 167° 26) 10° 27) 154° 28) 105 = 2x – 11; x = 58 29) 6x x = 180; x = 23.

Find the Area of the Square

Perimeter, Area, and Circumference

Unit 5 – Composite Area Notes

Area of Composite Shapes

Area of Composite Shapes

11 – 5 Volumes of Pyramids & Cones

Area of composite figures

Area and Perimeter of Composite Figures Review

Exercise Find the diameter of a circle if the radius is 5 in. 10 in.

Warm Up 3/6 8 ft 7 ft 3 ft D C O 20x B A 25x ? 9m 18m 50m

Chapter 1 Section 1.7 Area and Perimeter.

9.4 Composite Figures A composite figure is formed from two or more figures. To find the area of a composite figure: Find the areas of each figure then.

Area of Irregular Figures

9-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

Main Idea and New Vocabulary Key Concept: Area Formulas

Composite Figures.

9-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

Area of Composite Shapes

10-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

Class Greeting.

9-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

Objectives Use the Area Addition Postulate to find the areas of composite figures. Use composite figures to estimate the areas of irregular shapes.

Warm UP! Circle O has a radius of 20 feet. What is the length of arc KL? K 65o O L 20 ft.

Learn to find the area of irregular figures.

1.7 Composite Figures Sept. 4!

9-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

• Area of Circles AREA OF A CIRCLE A = r2

1.7 Introduction to Perimeter, Circumference, & Area

9-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

10-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

Area of Composite Figures

Find the area of a hexagon with a side of feet.

Lesson 3 Area of Composite Figures

10-3 Composite Figures Warm Up Lesson Presentation Lesson Quiz

Presentation transcript:

Composite Figures A composite figure is formed from two or more figures. To find the area of a composite figure: Find the areas of each figure then add them up. To find the area of a shaded region, you need to subtract the areas.

Example #1: Find the area of the composite figure. The composite figure contains 2 triangles and 1 square. We need to find the area of each region. Area of 1 triangle: A = ½ bh A = ½ (7)(4) A = ½ (28) A = 14 yds2 Area of square: A = lw or S² A= 7(7) A= 49 yd2 Total area of figure: Add up areas of 2 triangles and square: A = 2(14) + 49 = 28 + 49 = 77 yd2.

Example #2: Find the area of the figure. The figure contains: 1 square and a semicircle Area of square: A = lw or S² A= 6(6) A= 36 ft2 Area of circle: A = r2 A = (3)2 = 9 ft2 Area of semicircle ½ (9) = 4.5 ft2 exact = 14.13ft² estimated 3 ft. Total area of figure: Add areas of square and semicircle: A = 36 + 4.5 ft2 exact A = 36 + 14.13ft² A = 50.13ft² estimated

Diameter = Length of square = = 8 ft. Radius = ½ (8) = 4 ft. Example #3: Find the area of the shaded region if the area of the square is 64 ft2. We are given the area of the square, we need to find the area of the circle. What is its radius? Diameter = Length of square = = 8 ft. Radius = ½ (8) = 4 ft. Area of circle: A = r2 A = (4)2 A = 16 ft2. exact d = 8 ft. Area of shaded region = Area of square – Area of circle A = 64 - 16 ft2. A = 64 – 50.24ft² A = 13.76ft²estimated

QUIZ Show your work! 1. Find the area of the entire figure below. 20 cm 1. Find the area of the entire figure below. 2. Find the area of the shaded region above.