Standards:.

Slides:

Advertisements

Similar presentations

Section 11.6 Notes. Regular Polygon and its Parts.

Advertisements

5.5: Special Right Triangles and Areas of Regular Polygons

11.2 Area of Regular Polygon

Section 7 –5 Areas of Regular Polygons

12.3 Surface Area of a Pyramids and Cones Slant Height ( l )

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

WARM UP 1)Find the area of a trapezoid with bases 8 and 11 and a height of )Find the area of an equilateral triangle with sides 8ft. 3)An isosceles.

Area of Regular Polygons 5.5

Rectangle l - length w - width Square s – side length s s s.

11.5 Area of Regular Polygons. Theorem 106 Theorem 106: The area of an equilateral triangle equals the product of one- fourth the square of a side and.

10.3 Areas of Regular Polygons

Geometry Section 7.4 Special Right Triangles. 45°-45°-90° Triangle Formed by cutting a square in half. n n.

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

Warm-up Elena is planning a triangular garden. She wants to build a fence around the garden to keep out the deer. The length of one side of the garden.

The Apothem The apothem (a) is the segment drawn from the center of the polygon to the midpoint of the side (and perpendicular to the side)

Areas of Regular Polygons Section Theorem 11.3 Area of an Equilateral Triangle: The area of an EQUILATERAL triangle is one fourth the square of.

10.3 Areas of Regular Polygons The radius of a regular polygon is the distance from the center to a vertex. The apothem is the perpendicular distance from.

Area of regular polygons

Geometric Probability “chance” Written as a percent between 0% and 100% or a decimal between 0 and 1. Area of “shaded” region Area of entire region Geometric.

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.

11.3 Perimeters and Area of Similar Figures

Chapter 10: Area Section 10-3: Areas of Regular Polygons.

Chapter 7 Lesson 5 Objective: Objective: To find the area of a regular polygon.

Find the area of the equilateral triangle if one of the sides is 8.

Area of regular polygons

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

11.5 Areas of Regular Polygons Objective: After studying this section you will be able to find the areas of equilateral triangles and other regular polygons.

 Given a regular polygon, you can find its area by dividing the polygon into congruent, non- overlapping, equilateral triangles.

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

The sum of the measures of the interior angles of a convex n-gon (n-2)∙ Corollary to Theorem 11.1 The measure of each interior angle of a regular.

6-3A Regular Polygons What are regular polygons? What is an apothem? How do you find the area of any regular polygon? How do you find the measure of one.

9.5 – Trigonometry and Area

Geometric Mean Treasure-hunt: Cut out each of the question slides and place them around the room, stick them on the walls if you wish. Print out and distribute.

Lesson 8.4 Regular Polygons pp Lesson 8.4 Regular Polygons pp

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.

Geometry 7-5 Areas of Regular Polygons. Review Areas.

11.2 Areas of Regular Polygons Geometry. Find the area of the triangle below.

Areas of Regular Polygons Chapter 11, Section 2 June 22, 2016.

Area of Regular Polygons

AREA OF SOLIDS.

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

9.4 Areas of Regular Polygons

Notes 76: 11.6 Areas of Regular 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.

8.4 Areas of Regular Polygons

11.3 Areas of Regular Polygons and Circles

7-5 Areas of Regular Polygons

11.5 Areas of Regular Polygons

Section 7.3 Regular Polygons and Area

All the polygons in this game are regular polygons.

11.3 Vocabulary Radius of a Regular Polygon

11.3 Perimeters and Area of Similar Figures

11.3 Perimeters and Area of Similar Figures

side length: triangle:

Areas of Regular Polygons

10-4 Surface Areas of Pyramids

Geometry/Trig Name: __________________________________

Areas of Regular Polygons

10-3 Areas of Regular Polygons

7-5 Areas of Regular Polygons

7.7 Perimeters and Area of Similar Figures

Geometry/Trig Name: _________________________

Bellwork Find the values of x and y for each y y y 5 30°

Areas of Regular Polygons

Area of Regular Polygons

8.4 Areas of Regular Polygons

10.3 Areas of Regular Polygons

Area of Regular Polygons and Circles

11.3 Vocabulary Radius of a Regular Polygon

Presentation transcript:

Standards:

Theorem 11.11 Area of a Regular Polygon The area of a regular n-gon with side length of s is half the product of the Apothem a and the perimeter P, so… 𝑨= 𝟏 𝟐 𝒂 𝑷 𝑨𝒓𝒆𝒂= 𝟏 𝟐 (𝒂𝒑𝒐𝒕𝒉𝒆𝒎)(𝑷𝒆𝒓𝒊𝒎𝒆𝒕𝒆𝒓) 𝑨= 𝟏 𝟐 𝒂 ∙𝒏𝒔 𝑨𝒓𝒆𝒂= 𝟏 𝟐 (𝒂𝒑𝒐𝒕𝒉𝒆𝒎)(𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒔𝒊𝒅𝒆𝒔)(𝒔𝒊𝒅𝒆 𝒍𝒆𝒏𝒈𝒕𝒉)

Example Find the apothem of a square with side length 10.

Example Find the apothem of a hexagon with radius 8 Find the area of the Hexagon

Practice Find the area of a square with an apothem of 4.

Practice Find the area of a hexagon with side length of 12

Practice Find the area of an equilateral triangle with an apothem of 2

Homework: Page 765: #1 – 16 all