CHAPTER 11.1 Angle Measures in Polygons. Sum of the Measures of the Interior Angles of a Convex Polygon… (n-2) * 180.

Slides:

Advertisements

Similar presentations

Cornell Notes And Math Literacy. Basic Format The note format for Cornell Notes involves three(3) parts.. The basic note area The questions The summary.

Advertisements

Geometry 5 Level 1. Interior angles in a triangle.

Chapter 24 Polygons.

Properties and Attributes of Polygons

Section 6.2 Angles of Polygons.

Geometry Chapter Polygons. Convex Polygon – a polygon with a line containing a side with a point in the interior of the polygon.

Interior angles of polygons This is just one of the six interior angles of this polygon.

Areas of Regular Polygons Students will be able to find the areas of regular polygons.

Regular Polygons A polygon is regular if all sides and interior angles are congruent. Congruent: same size, same shape.

Areas of Regular Polygons Honor’s On a sheet of warm up paper: Write the name of your podcast group members (don’t write your own name) Rate each.

9-2 Area of Regular Polygons The center of a regular polygon is equidistant from its vertices. Radius- the distance from the center to a vertex. Apothem-

Lesson 8.2 (Part 2) Exterior Angles in Polygons

Geometry Review AREA 1. Find the measure of each interior angle of the regular polygon shown below. 2.

8.2 Angles in Polygons Polygon Number of sides Number of triangles Sum of measures of interior angles Triangle Quadrilateral Pentagon Hexagon Heptagon.

CHAPTER 11 REVIEW. QUESTION ONE Find the sum of the interior angles of a convex decagon. A.1800° B. 1440° C. 360° D. 180°

10/28/10 ©Evergreen Public Schools Area of Regular Polygons Vocabulary: apothem.

Geometry Using Trig Functions to Find the Areas of Regular Polygons.

Areas of Regular Polygons Learning Target: I can use area to model and solve problems.

Chapter 11: Measuring Length and Area Area of Regular Polygons.

11.3 Areas of Regular Polygons and Circles What you’ll learn: 1.To find areas of regular polygons. 2.To find areas of circles.

Section 11-2 Areas of Regular Polygons. Area of an Equilateral Triangle The area of an equilateral triangle is one fourth the square of the length of.

Find the area of the triangle below. 3/24 with review 7.4 and 7.5 on 3/ Areas of Regular Polygons.

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.

5.1 Polygon Sum Conjecture

Polygons – Angles In Regular Polygons Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all.

8.2 Angles in Polygons Textbook pg 417. Interior and Exterior Angles interior angles exterior angle.

Warm Up Week 4. Section 11.2 Day 1 I will find the area of a regular polygon. Area of an Equilateral Triangle Theorem

Area of Regular Polygons January 27, Objectives Learn the formula for the area of regular polygons.

Polygons Advanced Geometry Polygons Lesson 1. Polygon a closed figure Examples NO HOLES NO CURVES SIDES CANNOT OVERLAP all sides are segments.

Chapter 11-Area of Polygons & Circles Angle Measures in Polygons Section 11.1 Goal – To find the measures of interior and exterior angles of polygons.

A) Find the measure of

Do Now. Section 8.2 Angles in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex polygon with n sides.

Lesson 5.2 Polygon Exterior Angle Sum HOMEWORK: 5.2/ 1-10.

Interior angles of polygons This is just one of the six interior angles of this polygon.

Areas, Surface Areas, and Volumes Unit Areas of Regular Polygons.

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

Area of Regular Polygons Terms Radius – segment joining the center of the polygon to the vertex of the polygon. All radii of a polygon are equal. When.

The Interior Angles of Polygons. Sum of the interior angles in a polygon We’ve seen that a quadrilateral can be divided into two triangles … … and a pentagon.

Areas of Polygons FORMULAS Rhombus: (1/2)d *d Kite: (1/2)d *d.

GEOMETRY 10.5 Exterior and Interior Angle Measurement Interactions.

Polygons 1 What is the difference between concave and convex?

Geometry Name: __________________________ Unit 4 – Polygon NotesDate: ___________________________ Polygons – - __________________________________________________.

Polygons. Polygon Interior Angle Theorem The sum of the measures of the interior angles of a convex polygon is given by: Sum = 180(n – 2) where n represents.

Area of Regular Polygons Regular – congruent sides and angles.

7.1 Interior and Exterior Angles in Polygons. What is the sum or the interior angles in a triangle? 30 ° 60 ° 100 ° 30 ° 50 ° 60 ° 80 ° 60 ° 40 ° 80 °

Interior angles of polygons

Polygons Subtitle.

Area of Regular Polygons

Polygons and angles.

8.1 Angles of Polygons What you’ll learn:

Lesson 8-1 Angles of Polygons Lesson 3-4: Polygons.

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

Now let’s explore the sum of the 4 angles in any quadrilateral.

Lesson 3.3 Objective/Topic: Determine the sum of interior angles of a polygon. To determine the measures of exterior angles of a polygon. Essential Question:

Polygons – Measurements of Angles

11.1 Angles Measures in a Polygon

Interior angles of polygons

Today – Friday, June 7, 2013 Learning Target : You will find area of regular polygons inscribed in a circle. Independent practice BRING BOOKS ALL NEXT.

Calculate the size of the interior angles in a regular hexagon

An angle inside a polygon

Exploring angles of polygons

All the polygons in this game are regular polygons.

Chapter face off! A challenge vs. your partner and YOURSELF!!!

Polygons – Angles In Regular Polygons

How many diagonals in a… 1. Triangle _______ 2. Heptagon _______

ALWAYS add up to 360 degrees! No matter what polygon it is.

Using Trig Functions to Find the Areas of Regular Polygons

Angle Measures of Polygons

Angle Measures in Polygons

Presentation transcript:

CHAPTER 11.1 Angle Measures in Polygons

Sum of the Measures of the Interior Angles of a Convex Polygon… (n-2) * 180

CHAPTER 11.2 Areas of Regular Polygons

The Measure of the Central Angle of a Regular Polygon: 1/n * 360 (n = the number of sides)

Area Find the area of the regular pentagon. Step 1: Find the central angle. Step 2: Redraw the Triangle you are working with Step 3: Find the Apothem (use trig!) Step 4: Find the Perimeter (use trig!) Step 5: Use the Area formula for Regular Polygons