Geometric Probability “chance” Written as a percent between 0% and 100% or a decimal between 0 and 1. Area of “shaded” region Area of entire region Geometric.

Slides:

Advertisements

Similar presentations

Circle – Formulas Radius of the circle is generally denoted by letter R. Diameter of the circle D = 2 × R Circumference of the circle C = 2 ×  × R (

Advertisements

TODAY IN GEOMETRY…  Review: Pythagorean Theorem and Perimeter  Learning Target: You will find areas of different polygons  Independent practice.

TODAY IN GEOMETRY…  BOOK RETURN: by this Friday!  Learning Target 1: You will find areas of different polygons  AT EXIT: In class assignment.

20 Questions Chapter 10 Review. 1. Polygons The sum of the measures of the interior angles of a convex polygon is How many sides does the polygon.

Areas Advanced Geometry Areas and Volumes Lesson 1.

© 2008 Pearson Addison-Wesley. All rights reserved Chapter 1 Section 9-3 Perimeter, Area, and Circumference.

Jim Smith JCHS Expand analysis of units of measure to include area and volume Use right triangle trigonometry to find the area and.

Jeopardy $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300

Areas of Polygons and Circles

Geometric Formulas RectangleSquare Parallelogram Triangle Ch. 5: 2 – D Measurement Trapezoid.

$100 $200 $300 $400 $500 $200 $300 $400 $500 Area of Parallelograms Areas of Triangles, trapezoids and Rhombi Geometric Probability Area of regular.

Unit 10 Review Area Formulas. FOR EACH FIGURE: IMAGINE the shape THINK of its AREA FORMULA.

Warm-Up Find the area and perimeter of the rectangle

Section 9-4 Perimeter, Area, and Circumference.

MATH 3A CHAPTER NINE PERIMETER AND AREA. LEARNING TARGETS AFTER YOU COMPLETE THIS CHAPTER, YOU WILL BE ABLE TO: CALCULATE PERIMETERS FOR REGULAR AND IRREGULAR.

Area of Regular Polygons

Section aFind the area of a rectangle and a square. bFind the area of a parallelogram, a triangle, and a trapezoid. cSolve applied problems involving.

Perimeter & Area Lessons 19 & 20.

Chapter 11 Areas of Polygons and Circles Areas of Parallelograms  The height is always perpendicular to the base h b w l A = bh A =lw A = s 2 s.

Rectangle l - length w - width Square s – side length s s s.

Camilo Henao Dylan Starr. Postulate 17 & 18 Postulate 17: The area of a square is the square of the length of a side (pg.423) A=s 2 Postulate 18 (Area.

11.5 Area of Regular Polygons. Theorem 106 Theorem 106: The area of an equilateral triangle equals the product of one- fourth the square of a side and.

6.7 Area of Triangles and Quadrilaterals

Area Formulas and Parallelograms

Basic Polygon Stuff Polygon Angles Basic Area Probability.

Find the area of the triangle.

The Apothem The apothem (a) is the segment drawn from the center of the polygon to the midpoint of the side (and perpendicular to the side)

Geometry Chapter 11 Review. Parallelogram A = bh Base Height.

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.

AREA OF POLYGONS You need: Formula Sheet Scratch Paper Pencil

10-2 Areas of Trapezoids, Rhombuses & Kites Objective: To find the area of a trapezoid, rhombus or kite Essential Understanding You can find the area of.

Polygons and Area (Chapter 10). Polygons (10.1) polygon = a closed figure convex polygon = a polygon such that no line containing a side goes through.

11.1 Areas of Polygons. Area of a Square = _______________________ Area of a Rectangel = ____________________ Postulate 18: ___________________________.

Area, Circumference & Perimeter

Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites

Find the area of the equilateral triangle if one of the sides is 8.

Area of regular polygons

7.4: Areas of Trapezoids, Rhombuses, and Kites

Perimeter & Surface Area Today’s lesson will cover…  finding perimeter and surface area of polygons  using formulas to solve problems involving surface.

10-8 Geometric Probability

6.7 Area of Triangles and Quadrilaterals Area Postulates: Postulate 22 Area of a Square: The area of a square is the square of the length of its side,

Chapter 9 Area. Lesson 9.1 Area – The measure of the region enclosed by the figure. C-81 The area of a rectangle is given by the formula A=bh, where A.

Area of Parallelograms, Triangles, and Rhombuses Unit 11 Section 2 Understand what is meant by the area of a polygon Know and use the formulas for the.

9.1 PERIMETER AND AREA OF PARALLELOGRAMS Objective: Students find the perimeter and area of parallelograms.

Chapter 10 Area Section 10.1 Areas of Parallelograms and Triangles.

Sect. 6.7 Areas of Triangles and Quadrilaterals Goal 1 Using Area Formulas Goal 2 Areas of Trapezoids, Kites and Rhombuses.

Unit 8 – 3 Finding Perimeter and Area Regular polygons and simple shapes with algebraic expressions.

Warm up Give the formulas for how to find the area of a: Rectangle Triangle Circle Kite.

Lesson 91 Warm Up Pg. 474.

Perimeter, Area, and Circumference

Area of Polygons and Circles

Find the area of the triangle. POLYGONS Find the area of the triangle.

May 1, 2017 Area of Regular Polygons

Area of Shapes.

Objectives Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles.

UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM

CHAPTER 11 Areas of Plane Figures.

Finding the Area of Rectangles and Parallelograms

1-5 Geometric Formulas Polygons

Unit 10: 2-Dimensional Geometry

10.1 Areas of parallelograms and triangles

Geometry/Trig Name: __________________________________

Lesson 9-1 Area of 2-D Shapes.

Lesson 9-1: Area of 2-D Shapes

Area & Perimeter.

Parallelograms, Triangles, Rhombuses Rectangles & Trapezoids Regular

By- Sabrina,Julianna, and Killian

Presentation transcript:

Geometric Probability “chance” Written as a percent between 0% and 100% or a decimal between 0 and 1. Area of “shaded” region Area of entire region Geometric Probability = Experimental - based on experiment Theoretical – formulas / theorems

How likely is it that a point chosen at random will be in the shaded region?

What is the probability that a point chosen at random will lie in the shaded region? 14 The hexagon is regular Area of a regular polygon: ½ perimeter apothem ½ Area of a triangle: ½ base height ½ Probability = = 16.7%

AREA FORMULAS Rectangle: length width Parallelogram: base height Triangle: ½ base height Trapezoid: (base + base) / 2 height Square: side² or ½ diagonal² Rhombus: ½ diagonal diagonal height base height base height Area of regular polygons Area = ½ Perimeter of the polygon apothem

What is the probability that a point chosen at random will lie in the shaded region? 76 m 72 m 104 m 11 m 12 m 8 m Area of trapezoid = = 110 Area of parallelogram = = 7488 Probability = %