Any Way you Slice it Shaded regions of circles and other polygons.

Slides:

Advertisements

Similar presentations

10.1 Tangents to Circles.

Advertisements

Area of a Sector and Arc Length Geometry BowerPower.net Mr. Bower.

JRLeon Geometry Chapter 8.6 HGSH Lesson 8.6 In Lesson 8.5, you discovered a formula for calculating the area of a circle. With the help of your visual.

W ARM - UP Area of a regular polygon:________________________ Area of Circle: ______________________________.

Circles. A circle is the set of all points in a plane that are at a given distance from a center. What is it?

Lesson 10.1a Circle Terminology.

Do Now Take out your calculator. Take out your notebook. Find the length of arc AB.

Lesson 8-1: Circle Terminology

Area of a Circular Sectors & Segments February 11, 2007.

Areas of Circles, Sectors and Segments Lesson 11.6

L.E.Q. How do you find the areas of circles, sectors, and segments of circles?

7.7: Areas of Circles and Sectors

10.7 Areas of Circles and Sectors

Lesson 8-1: Circle Terminology

Answers to homework problems – page 8

Lesson 8-1: Circle Terminology

Tangents, Arcs and chords, basic terms Section 9-1.

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.

10.1 Circles. Definition: Although all circles have the same shape, their sizes are determined by the measures of their radii. Two or more coplanar circles.

10-7 Areas of Circles and Sectors Objective: To find the areas of circles, sectors and segments of circles.

Circumference Arc Radius Diameter Chord Tangent Segment Sector

Brought to you by powerpointpros.com

Geometry Warm ups AREAS OF CIRCLES AND SECTORS Objective: to find the areas of circles, sectors, and segments of circles.

Geometry Chapter 11 Review. Solve for x Each exterior angle of a regular n-gon measures 40°. What is the value of n?

You will find the areas of circles and composite figures as well as find areas of sectors.

11.5 Area of Circles and Sectors. Theorem The equation for the Area of a Circle Area equals radius squared times pi.

Vocabulary: SECTOR of a circle: a region bounded by an arc of the circle and the two radii to the arc’s endpoints SEGMENT of a circle: a part of a circle.

10-7 Areas of Circles and Sectors Objective To find the areas of circles, sectors, and segments of circles.

You will need: Calculator Whiteboard Paper Pencil No cell.

Mrs. McConaughyGeometry1 Any Way You Slice It: Calculating the Areas of Circle Portions sectors, segments, and annuli During this lesson, you will solve.

Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18.

Section 11-5 Areas of Circles and Sectors. Area of a Circle The area of a circle is times the square of the radius. Formula:

Sectors of a Circle Acc. Alg/Geo. A Spring Area of a Circle The amount of space inside a circle. r A=  r 2.

Chapter 10: Area 10.7 Areas of Circles & Sectors.

Section 8.6.  If you cut a slice of pizza, each slide would probably be a sector of a circle. The sector is the region between two radii and an arc of.

Lesson 8-6 Areas of different sections of a circle.

Circumference Around the circle. Arc Part of the circumference.

11.5 Sectors and Arc Lengths

Objectives: 1)To find the areas of circles, sectors, and segments of circles.

Geometry Warm ups AREAS OF CIRCLES AND SECTORS (DAY 2) Objective: To find the areas of circles, sectors, and segments of circles.

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

Lesson 9.6 Sectors and Segments pp Lesson 9.6 Sectors and Segments pp

DH2004. What is a circle? A circle is a set of points equidistant from a fixed point, called the centre.

Recall Area of a Circle A = r2

10.7 Areas of Circles and Sectors – Areas of Circles & Sectors Goals / “I can….” Find the areas of circles, sectors, and segments of circles.

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 Geometry Prep for Algebra 1. Area & Perimeter Area: the two-dimensional size of a figure Perimeter: The distance around the edge of figure.

9.3 Circles Objective: Students identify parts of a circle and find central angle measures.

Main Idea 1: If the arcs are congruent, then the chords are congruent. REVERSE: If the chords are congruent, then the arcs are congruent. Main Idea 2:

Unit 4 Circle Terminology Keystone Geometry.

Tangent and Chord Properties

11.6 Areas of Circles, Sectors, and Segments

Circle Properties Circle Properties Major Segment Chord Minor Segment

Shaded regions of circles and other polygons

11.3 Areas of Circles and Sectors

Concentric and Tangent Circles

Tangent and Chord Properties

Tangent and Chord Properties

Lesson 10-1: Circle Terminology

Lesson 8-1: Circle Terminology

Area of a Circle Recall that when investigating the area of certain polygons, we based our new area formulas on shapes whose area we already knew. We’ll.

11.6 Areas of Circles, Sectors and Segments

Lesson 8-1: Circle Terminology

Areas of Plane Figures 11-6 Arc Lengths and Areas of Sectors

Presentation transcript:

Any Way you Slice it Shaded regions of circles and other polygons

Shaded region Overall idea Find the area of the larger figure and subtract the area of the other figures to get the left over

Example You have done some of these already.

Parts of Circles - Sector Chord – segment inside a circle touching two points Sector of a Circle – region between two radii and an arc of the circle, slice of pizza

Practice

Parts of Circle - Segment Segment of a circle – is the region between a chord and an arc of a circle, crust of pizza

Practice

Concentric Circles – same center different radius Annulus – the region between two concentric circles

Practice

More Practice

Homework Pg even Honors 13