Circles – Circumference and Area Circumference – the distance around a circle.

Slides:

Advertisements

Similar presentations

Objective: Find the circumference and area of circles.

Advertisements

Pleased to Meet You Five people meet in a room. Each one shakes hands with the other four. How many handshakes are there? (Hint: Draw a picture)

11.4 Circumference and Arc Length

Geometric Probability

Circles Review Unit 9.

2.1 Angles and Their Measures

If the diameter of a circle is 6 in, then what is its radius?

Geometry 11.4 Circumference and Arc Length. July 2, 2015Geometry 11.4 Circumference and Arc Length2 Goals  Find the circumference of a circle.  Find.

Circles 9.3 Page 532 DiameterIs a segment that passes through the center of the circle and has endpoints on the circle. Segment AC is the diameter. D =

Introduction All circles are similar; thus, so are the arcs intercepting congruent angles in circles. A central angle is an angle with its vertex at the.

13-3: Radian Measure Radian Measure There are 360º in a circle The circumference of a circle = 2r. So if the radius of a circle were 1, then there a.

Area and Circumference of Circles

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.

  investigate the relationship between the diameter and circumference of a circle.

Circumference & Area of Circles Unit 5-3. Circumference Formula for Circumference: ** r is the radius ** ** 2r = d. d is the diameter. ** **Circumference.

Keystone Geometry 1 Area and Circumference of a Circle.

Degrees, Minutes, Seconds

7.6: Circles and Arcs Objectives:

6.7 Circumference & Area Notes. Circumference The distance around a circle. Do you remember the formula??? C = 2  r or C =  d * Always use the  button.

CIRCUMFERENCE: or If you unwrap a circle, how long will the line be?

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.

Circumference and area of circles Pick up your calculator for today’s notes.

A circle is a closed curve in a plane. All of its points are an equal distance from its center.

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

6.7 Circumference & Arc Length p.224. Circumference Defn. – the distance around a circle. Thm – Circumference of a Circle – C = 2r or C = d *

Geometry 1 Area and Circumference of a Circle. Central Angle A central angle is an angle whose vertex is at the center of the circle. 2 The measure of.

Starter The perimeter of this sector is (2r + 12∏) m. Find the radius r m, of the sector. r m.

Circles: Circumference & Area Tutorial 8c A farmer might need to find the area of his circular field to calculate irrigation costs.

Warm-Up Find the area: Circumference and Area Circles.

Lesson 8.7 Circumference and Area of Circles Pages

Circumference Lesson #33. What is Circumference? The distance around the outside of a circle is called the circumference (essentially, it is the perimeter.

Circles: Arc Length and Sector Area

Area Circumference Sectors

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

11.4 Circumference and Arc Length

+ Bell Work Solve 25 ⅚ -18 ⅜ 5 ⅛ + 7 ⅘. + Bell Work Answer 25 ⅚ -18 ⅜ 25 20/24 – 18 9/ /24 5 ⅛ + 7 ⅘ 5 5/ / /40.

Parts of a circle The distance around circle O is called the circumference of the circle. It is similar to the perimeter of a polygon.

AREA OF A CIRCLE Learning Target 4: I can solve problems using area and circumference of a circle.

Circles: Arcs, Angles, and Chords. Define the following terms Chord Circle Circumference Circumference Formula Central Angle Diameter Inscribed Angle.

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.

The midpoint of a circle is centre The line drawn from the centre to the circumference is … radius.

CIRCLES RADIUS DIAMETER (CHORD) CIRCUMFERENCE ARC CHORD.

Objective: Solve equations using area circumference, diameter, and radius.

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

Do Now:. Circumference What is circumference? Circumference is the distance around a circle.

© 2010 Pearson Prentice Hall. All rights reserved Circles § 7.7.

Unit 6-1 Parts of Circles Circumference and Area of Circles.

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.

Measurement: Circles and Circumference With Mr. Minich

A little more practice You’ve got this! High five!

Geometry: Circles and Circumference

Geometry: Circles and Circumference

11.4 Circumference and Arc Length

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

11.4 Circumference and Arc Length

11.3 Sector Area and Arc Length (Part 1)

Spiral TAKS Review #2 6 MINUTES.

Circumference and Arc Length

Geometry: Circles and Circumference

11.4 Circumference and Arc Length

11.1 Circumference and Arc Length

Geometry 11.1 Circumference and Arc Length

2*(-9)= Agenda Bell Ringer Bell ringer D.E.A.R.

11.4 Circumference and Arc Length

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

Geometry: Circles and Circumference

Presentation transcript:

Circles – Circumference and Area Circumference – the distance around a circle

Circles – Circumference and Area Circumference – the distance around a circle It turns out, if you divide any circle by its diameter you get pi. Pi is a non- repeating, non-terminating decimal. We’ll always use 3.14 as an approximate value when calculating using Pi.

Circles – Circumference and Area Circumference – the distance around a circle It turns out, if you divide any circle by its diameter you get pi. Pi is a non- repeating, non-terminating decimal. We’ll always use 3.14 as an approximate value when calculating using Pi. Example # 1 : The radius of a circle = 4 inches. Find diameter = ? circumference = ?

Circles – Circumference and Area Circumference – the distance around a circle It turns out, if you divide any circle by its diameter you get pi. Pi is a non- repeating, non-terminating decimal. We’ll always use 3.14 as an approximate value when calculating using Pi. Example # 1 : The radius of a circle = 4 inches. Find diameter = 8 inches circumference = ?

Circles – Circumference and Area Circumference – the distance around a circle It turns out, if you divide any circle by its diameter you get pi. Pi is a non- repeating, non-terminating decimal. We’ll always use 3.14 as an approximate value when calculating using Pi. Example # 1 : The radius of a circle = 4 inches. Find diameter = 8 inches circumference = inches

Circles – Circumference and Area Circumference – the distance around a circle It turns out, if you divide any circle by its diameter you get pi. Pi is a non- repeating, non-terminating decimal. We’ll always use 3.14 as an approximate value when calculating using Pi. Example # 2 : The circumference of a circle = 47.1 feet. Find diameter = ? radius = ?

Circles – Circumference and Area Circumference – the distance around a circle It turns out, if you divide any circle by its diameter you get pi. Pi is a non- repeating, non-terminating decimal. We’ll always use 3.14 as an approximate value when calculating using Pi. Example # 2 : The circumference of a circle = 47.1 feet. Find diameter = 15 feet radius = ?

Circles – Circumference and Area Circumference – the distance around a circle It turns out, if you divide any circle by its diameter you get pi. Pi is a non- repeating, non-terminating decimal. We’ll always use 3.14 as an approximate value when calculating using Pi. Example # 2 : The circumference of a circle = 47.1 feet. Find diameter = 15 feet radius = 7.5 feet

Circles – Circumference and Area Area of a Circle – the amount of square units inside the circle

Circles – Circumference and Area Area of a Circle – the amount of square units inside the circle Example 1:The radius of a circle is 3 inches. What is the area? Solution: = 3.14 · (3 in) · (3 in) = 3.14 · (9 in 2 ) = in 2

Circles – Circumference and Area Area of a Circle – the amount of square units inside the circle Example 2 : The area of a circle is 78.5 square meters. What is its radius ? Solution :

Circles – Circumference and Area Knowing the circumference of a circle can help us find lengths of arcs in circles and central angle measurements. The total number of degrees in a circle = 360 degrees. We can use proportions to solve these problems.

Circles – Circumference and Area Knowing the circumference of a circle can help us find lengths of arcs in circles and central angle measurements. The total number of degrees in a circle = 360 degrees. We can use proportions to solve these problems. Example : Find arc AC if radius = 4 cm and measure of angle AOC = 30 degrees. C A O 2 30°

Circles – Circumference and Area Knowing the circumference of a circle can help us find lengths of arcs in circles and central angle measurements. The total number of degrees in a circle = 360 degrees. We can use proportions to solve these problems. Example : Find arc AC if radius = 4 cm and measure of angle AOC = 30 degrees. C A O 2 30° Solution :

Circles – Circumference and Area Knowing the circumference of a circle can help us find lengths of arcs in circles and central angle measurements. The total number of degrees in a circle = 360 degrees. We can use proportions to solve these problems. Example : Find arc AC if radius = 4 cm and measure of angle AOC = 30 degrees. C A O 4 30° Solution :

Circles – Circumference and Area Knowing the circumference of a circle can help us find lengths of arcs in circles and central angle measurements. The total number of degrees in a circle = 360 degrees. We can use proportions to solve these problems. Example : Find circumference if arc AC = 24 inches and measure of angle AOC = 60 degrees.. C A O 24 60°

Circles – Circumference and Area Knowing the circumference of a circle can help us find lengths of arcs in circles and central angle measurements. The total number of degrees in a circle = 360 degrees. We can use proportions to solve these problems. Example : Find circumference if arc AC = 24 inches and measure of angle AOC = 60 degrees.. C A O 24 60° Solution :