Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 5-3 Circumference and area of a circle 5.3 Circumferences and Areas of Circles.

Slides:



Advertisements
Similar presentations
PARTS OF A CIRCLE To understand and apply the vocabulary.
Advertisements

Section 4-1 Congruent Polygons
If the diameter of a circle is 6 in, then what is its radius?
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 8-1 Dilations and Scale Factors 8.1 Dilations and Scale Factors.
TODAY IN GEOMETRY…  Warm up: Writing equations of a circle  Learning Target : 11.4 You will find the arc length and circumferences of circles  Independent.
Definition: A circle is the set of all points on a plane that is a fixed distance from the center.
Circles & Circumference 8 th Grade Pre-Algebra Circles & Circumference PPT Molly Thompson.
9.1 – 9.2 Exploring Circles Geometry.
Circles: Area and Circumference. Definitions Circumference: Distance around the outside of a circle Area: How many squares it takes to cover a circle.
11.4: Circumference and Arc Length Objectives: Develop and apply the equation for the circumference of a circle Determine arc length of a circle Common.
Chapter 10 Lesson 1: Circles and Circumference Objective: Learn to find the circumference of circles.
Math Circumference of Circles & Area of Circles. Vocabulary A circle is the set of all points in a plane that are the same distance from a given point,
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Recognize arithmetic sequences, and find the indicated term of an arithmetic.
Section Using Formulas in Geometry Holt McDougal Geometry
APK 5-MINUTE CHECK CIRCUMFERENCE AND ARC LENGTH.
Distance around the circle 2  r = C or d  = C.
Circumference and Area: Circles
Chapter 10: Circles.
Brought to you by powerpointpros.com
11.6 Arc Lengths and Areas of Sectors
10/14/ : Circumference and Area of Circles 5.3: Circumferences and Areas of Circles Expectation: G1.6.1: Solve multistep problems involving circumference.
8.7 Circumference and Area of Circles. Definition  A circle is the set of all points in a plane that are the same distance from a given point, called.
Objective Apply formulas for perimeter, area, and circumference.
Objective Apply formulas for perimeter, area, and circumference.
10.4 Area and Circumference. Solving Area Problem Find the area of polygon shown at right. Solution: A = (3)(13)f 2 + (3)(6 + 3)f 2 = 39f f 2 =
A circle is a closed curve in a plane. All of its points are an equal distance from its center.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Represent a real-world linear relationship in a table, graph, or equation. Identify linear.
11.5 Area of Circles and Sectors. Theorem The equation for the Area of a Circle Area equals radius squared times pi.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Compare real numbers. Simplify expressions involving opposites and absolute.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Multiply and divide rational expressions. Simplify rational expressions, including.
LESSON 7.6 AREA AND CIRCUMFERENCE OF CIRCLES OBJECTIVE: To use formulas for the circumference and area of circles.
11.4 Circumference and Arc Length
Circumference and Diameter 1/31/2006. Circumference A circle is a shape with all points the same distance from the center. It is named by the center.
Lesson 8.7 Circumference and Area of Circles Pages
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 10-1 Tangent Ratios.
4-2: Chords and Arcs Unit 4: Circles English Casbarro.
Geometry Honors Section 5.3 Circumference and Area of Circles
Geometry Chapter 9 Section 1 Circles. Circle The set of all points in a plane that are a given distance from a center point Radius a line segment from.
Circumferences & Areas of Circles. Circle information Defn: Points on a plane that are equidistant from a given point (CENTER). Radius: From center to.
HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 5.4.
Circle Basics Central Angles
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objective 1.8 Solving Absolute-Value Equations and Inequalities Write, solve, and graph.
Circles. diameter Circumference radius Circumference- the distance around the circle. About 3X the diameter.
9-1 Exploring Circles Objectives: To identify and use parts of circles. To solve problems involving the circumference of a circle.
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.
Geometry Honors Section 5.3 Circumference and Area of Circles.
Circles Review 3 rd Grade Geometry. What is the diameter of a circle?
11.4 Circumference and Arc Length
DH2004. What is a circle? A circle is a set of points equidistant from a fixed point, called the centre.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives Solve a rational equation or inequality by using algebra, a table, or a graph.
Notes Over 3.3Circles The circumference of a circle is the distance around the circle. Example Find the circumference of a circle with a diameter of 5.
Sector of a Circle Section  If a circle has a radius of 2 inches, then what is its circumference?  What is the length of the arc 172 o around.
9.3 Circles Objective: Students identify parts of a circle and find central angle measures.
Circumference and Area of Circles Section 8.7. Goal Find the circumference and area of circles.
Sections Perimeter and Area with Circles.
Entry Task Circles and Arcs What is a circle? Circle The set of all points in a plane that are the same distance from a given point (this point.
Holt Geometry 1-5 Using Formulas in Geometry Warm Up Evaluate. Round to the nearest hundredth () 6. (3) 2.
Holt McDougal Geometry 1-5 Using Formulas in Geometry 1-5 Using Formulas in Geometry Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.
CIRCLES AND CIRCUMFERENCE. CONTINUATION OF PI DAY In every circle, the ratio of the circumference to the diameter is equal to …… The Greek letter.
Circles – Segments and Circumference Circle – The set of all points in a plane a given distance from a given point (the center). Circles are named by their.
10-7 Area of Circles and Sectors. REVIEW Circumference: The total distance (in length) around a circle. Arc measure: The measure of the central angle.
Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Warm up 1. Solve the triangle 10.3 Extending the Trigonometric Ratios A 12 C 15 c B.
11.4 Circumference and Arc Length
ARC LENGTH.
11.6 Arc Lengths and Areas of Sectors
11.4 Circumference and Arc Length
11.4 Circumference and Arc Length
1.5 Using Formulas in Geometry
Essential Questions: Standards:
Geometry: Circles and Circumference
Presentation transcript:

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 5-3 Circumference and area of a circle 5.3 Circumferences and Areas of Circles

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 5.3 Circumferences and Areas of Circles Definitions Circle: A circle is the set of all points in a plane that are the same distance, r, from a given point in the plane known as the center of the circle. The distance r is known as the radius of the circle. The distance d = 2r is known as the diameter of the circle.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 5.3 Circumferences and Areas of Circles Definitions The circumference, C, of a circle with diameter d and radius r is given by: C =  d = 2  r.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills 5.3 Circumferences and Areas 1. Find the circumference of a circle with a radius of 6 inches.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills 5.3 Circumferences and Areas 2. Find the circumference of a circle with diameter of 10 inches.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 5.3 Circumferences and Areas of Circles Definitions The area, A, of a circle with radius r is given by: A =  r 2.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills 5.3 Circumferences and Areas 3. Find the area of a circle with a radius of 3 meters.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills 5.3 Circumferences and Areas 4.Find the approximate area of a circle with a radius of 7 meters.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills 5.3 Circumferences and Areas 5. Find the approximate area of a circle with a diameter of 10 centimeters.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills 5.3 Circumferences and Areas 7. Find the approximate area of #6. 6. Find the shaded area

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Definition A sector of a circle is the portion of a circle enclosed by two radii and an arc The area of a sector is given by:

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills 5.3 Circumferences and Areas 8. Find the approximate area of the sector of a circle with a diameter of 12 centimeters.

Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Assignment 5.3 Circumferences and Areas Page 317 # 4-10, 20-29, 31, 33, and 34