5-Minute Check on Lesson 11-4 Transparency 11-5 Click the mouse button or press the Space Bar to display the answers. Find the area of each figure. Round.

Slides:

Advertisements

Similar presentations

Area of Polygons and Circles

Advertisements

Geometric Probability

11.5 Geometric probability By: Ryan Jacob and Brinley Mathew.

5-Minute Check on Chapter 2

Lesson 7.4B M.3.G.1 Calculate probabilities arising in geometric contexts (Ex. Find the probability of hitting a particular ring on a dartboard.) M.3.G.2.

Areas of Circles and Sectors

Find the area of the figure. Round to the nearest tenth if necessary.

Geometric Probability – Solve problems involving geometric probability – Solve problems involving sectors and segments of circles To win at darts, you.

5-Minute Check on Lesson 11-3

Welcome to Interactive Chalkboard Glencoe Geometry Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Developed by FSCreations, Inc.,

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–2) CCSS Then/Now New Vocabulary Key Concept: Area of a Circle Example 1:Real-World Example:

10.7 Areas of Circles and Sectors

Area of Circles and Sectors Lesson 7.4A M.3.G.1 Calculate probabilities arising in geometric contexts (Ex. Find the probability of hitting a particular.

 Solve problems involving geometric probability.  Solve problems involving sectors and segments of circles.

Circumferences and Areas of Circles COURSE 3 LESSON 8-8 The diameter of a small pizza is 24 cm. Find its area. Round to the nearest tenth. A = r 2 Use.

5-Minute Check on Lesson 10-1 Transparency 10-2 Click the mouse button or press the Space Bar to display the answers. Refer to ⊙ F. 1. Name a radius 2.

Lesson 8-2 Dividing Monomials. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

5-Minute Check on Lesson 10-4 Transparency 10-5 Click the mouse button or press the Space Bar to display the answers. Refer to the figure and find each.

Geometric Probability Sector – A region of a circle bounded by an arc of the circle and the two radii to the arc’s endpoints. Two important quantities.

105  32   16  36.5  105  Warm-up Find the measures of angles 1 – 4.

11.5 Geometric Probability

Areas of Circles and Sectors

10/14/ : Circumference and Area of Circles 5.3: Circumferences and Areas of Circles Expectation: G1.6.1: Solve multistep problems involving circumference.

Geometric Probability 5.8. Calculate geometric probabilities. Use geometric probability to predict results in real-world situations.

Area Area Probability Segment Probability Area of Segment Area of Sector Area of Circle.

Splash Screen. Example 2 Use Area of Circles to Solve Problems PICTURE FRAMES The rectangular matting for a picture frame has a circular cutout for the.

Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)

Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth.

4.5: Geometric Probability p M(DSP)–10–5 Solves problems involving experimental or theoretical probability. GSE’s Primary Secondary GSE’s M(G&M)–10–2.

5-Minute Check on Lesson 10-3 Transparency 10-4 Click the mouse button or press the Space Bar to display the answers. The radius of ⊙ R is 35, LM  NO,

11.5 Geometric Probability Austin Varghese and Lane Driskill.

5-Minute Check on Lesson 7-1 Transparency 7-2 Click the mouse button or press the Space Bar to display the answers. Find the geometric mean between each.

5-Minute Check on Lesson 10-2 Transparency 10-3 Click the mouse button or press the Space Bar to display the answers. In ⊙ O, BD is a diameter and m 

Ch 11.6 What is the area of a square with an apothem length of 14 in? Round to the nearest tenth if necessary. What is the area of a regular hexagon with.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–7) Then/Now New Vocabulary Key Concept: Area of a Circle Example 1: Find Areas of Circles.

Chapter 10: Area 10.7 Areas of Circles & Sectors.

5-Minute Check on Lesson 11-2

Lesson 5 Menu 1.Find the area of the figure. Round to the nearest tenth if necessary. 2.Find the area of the figure. Round to the nearest tenth if necessary.

5-Minute Check on Lesson 10-6 Transparency 10-7 Click the mouse button or press the Space Bar to display the answers. Find x. Assume that any segment that.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–2) Then/Now New Vocabulary Key Concept: Area of a Circle Example 1:Real-World Example: Area.

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

Warm up. 2 Types of Answers Rounded Type the Pi button on your calculator Toggle your answer Do NOT write Pi in your answer Exact Pi will be in your.

7-2 Sectors of Circles Objective: To find the arc length of a sector of a circle and to solve problems involving apparent size.

Area Circumference Sectors

Warm-Up 1.Find the circumference of a circle with a diameter of 10ft. Round your answer to the nearest tenth. 2.Find the circumference of  A if the radius.

Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)

Areas of Circles and Sectors

Radian Measure Advanced Geometry Circles Lesson 4.

Lesson 7-7 Law of Cosines. 5-Minute Check on Lesson 7-6 Transparency 7-7 Click the mouse button or press the Space Bar to display the answers. Find each.

Geometry 7-8 Geometric Probability. Review Areas.

Copyright © Cengage Learning. All rights reserved. 12 Geometry.

LESSON Today: Assignment 11.3 Instruction 16 30° 20 Warm-up: Find the area. 160 u 2.

How to find the areas of circles, sectors, and segments of circles. Chapter 10.7GeometryStandard/Goal 2.2.

Circumference and Area of Circles Section 8.7. Goal Find the circumference and area of circles.

5 minute check 2 Click the mouse button or press the Space Bar to display the answers.

5-Minute Check on Chapter 2 Transparency 3-1 Click the mouse button or press the Space Bar to display the answers. 1.Evaluate 42 - |x - 7| if x = -3 2.Find.

Area of Circles Chapter 7B.

11.6 Areas of Circles, Sectors, and Segments

Section 11.3 Notes: Areas of Circles and Sectors

11.3 Areas of Circles and Sectors

2 Types of Answers Exact Rounded Use the Pi button on your calculator

Five-Minute Check (over Lesson 11–2) Then/Now New Vocabulary

Questions over hw?.

Questions over hw?.

Section 7.6: Circles and Arcs

Sector Area and Arc Length

EOCT REVIEW #2 Circles – Angles, Arcs, Area of a Circle, Area of a Sector, Circumference, Arc Length, & Segments.

Warm up: Solve for x 1.) 2.) 4.) 3.) 124◦ 70◦ x 18◦ x 260◦ x 20◦ 110◦

Circle Review Bingo The solutions are linked. Click on the answer on the next slide and it will jump you to the slide that is the question to the solution.

Presentation transcript:

5-Minute Check on Lesson 11-4 Transparency 11-5 Click the mouse button or press the Space Bar to display the answers. Find the area of each figure. Round to the nearest tenth if necessary Find the area of the figure 6. Find the figure’s area. Standardized Test Practice: ACB D 112 units²136.8 units²162.3 units² units² A = 330 units² A = 12 units² C A = units² A = 120 units² A = units²

Lesson 11-5 Geometric Probability

Objectives Solve problems involving geometric probability Solve problems involving sectors and segments of circles

Vocabulary Geometric Probability – probability involving geometric measure such as length or area Sector – of a circle is bounded by a central angle and its intercepted arc Segment – region of a circle bounded by and arc and a chord

Circles - Probability y x Radius (r) Diameter (d) Center Circumference = 2 πr = dπ 0° 180° 90° 270° 135° 315° Pie Charts Probability 0 = no chance 1 = for sure 135º = 3/8 360º or.375 or 37.5% 180º = 1/2 360º or.5 or 50% 45º = 1/8 360º or.125 or 12.5%

Probability Area of Event Total Area Radius (r) Center S T Probability Area of Event ¼ * πr = Total Area πr 2 ¼ * πr 2 P(e) = πr 2 ¼ = = ≤ P(e) ≤ 1 Event (e) Geometric Probability

Example 5-1a Grid-In Test Item A game board consists of a circle inscribed in a square. What is the chance that a dart thrown at the board will land in the shaded area? Read the Test Item You want to find the probability of landing in the shaded area, not the circle.

Example 5-1a Solve the Test Item We need to divide the area of the shaded region by the total area of the game board. The total area of the board is square inches. The area of the shaded region is the area of the total board minus the area of the circle. The area of the circle is The probability of throwing a dart onto the shaded area is or about

Example 5-1b Grid In Test Item A square game board consists of shaded and non-shaded regions of equal width as shown. What is the chance that a dart thrown at the board will land in a shaded area? Answer: 0.595

Example 5-2a Find the area of the shaded sectors. The shaded sectors have degree measures of 45 and 35 or 80° total. Use the formula to find the total area of the shaded sectors. Area of a sector Simplify. Answer:Area of the shaded sectors is 18 π or about 56.5 sq inches.

Example 5-2b Find the probability that a point chosen at random lies in the shaded region. To find the probability, divide the area of the shaded sectors by the area of the circle. The area of the circle is πr² with a radius of 9. Use a calculator. Simplify. Geometric probability formula Answer:The probability that a random point is in the shaded sectors is or about 0.22.

Example 5-2b Use a calculator. Simplify. Geometric probability formula Answer:The probability that a random point is in the shaded sectors is or about 0.22.

Example 5-2c Answer: or about a. Find the area of the orange sectors. b. Find the probability that a point chosen at random lies in the orange region. Answer: or about 0.33

Summary & Homework Summary: –To find geometric probability, divide the area of a part of a figure by the total area Homework: –pg ; 10-15