7.5 Areas of Regular Polygons and Circles Warm-up (IN) CSAP Constructed Response Learning Objective: To use area formulas to find areas of real world objects.

Slides:



Advertisements
Similar presentations
Areas of Regular Polygons 11.2 California State Standards 8 : Solve problems involving perimeter and area. 10: Find area of polygons 16: Perform constructions.
Advertisements

Circle A is centered at (2,2) with a radius of 12 cm and Circle B is centered at (8,-2) with a diameter of 6 cm. Determine the translation and dilation.
Section 11.6 Notes. Regular Polygon and its Parts.
7.4 Areas of Triangles and Quadrilaterals
11.2 Area of Regular Polygon
11.2a Area of Regular Polygons CCSSLESSON GOALS  Identify the radius, central angle, and apothem of a polygon.  Find the measure of a polygon’s central.
Sec. 10 – 3 Area of Regular Polygons
Geometry 11.4 Areas of Regular Polygons. Definitions Regular polygon- a polygon that is equiangular and equilateral. In the upper right side of your paper,
Example 1 Explain how you could find the area of the regular hexagon shown.
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.
Areas of Regular Polygons Lesson Equilateral Triangle Remember: drop an altitude and you create two triangles. What is the measure of the.
Area of Regular Polygons
Area of Regular Polygons 5.5
Section 7-5 Areas of Regular Polygons SPI 21B: solve equations to find length, width, perimeter and area SPI 32L: determine the area of indicated regions.
10.3 Areas of Regular Polygons
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-
Areas of Regular Polygons Geometry Unit 4, Lesson 3.
11-5: Areas of Circles and Sectors 11-6: Areas of Regular Polygons Objectives: Find and apply the formula for the area of a circle. Find and apply the.
Lesson 8-4 Areas of Regular Polygons. In this lesson you will… ● Discover the area formula for regular polygons Areas of Regular Polygons.
5-9 Honors Geometry Warm-up Find the area of the shaded region if AB= BC= CD. A B C D.
Warm-Up What is the perimeter of a regular decagon with side length s = 6?
Review: Area of 2-D Shapes Keystone Geometry.
Geometry 10.5 Areas of Circles and Polygons Objectives Find the area of a circle and polygons To be able to solve problems with circles and polygons.
HW 4.3(e) Due tomorrow: PW HW 4.3(d) Solutions cm ft cm m, 40 m 10.a.6¾ in 2 b.4½ in, 3 in.
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.
9.4 Areas of Regular Polygons February 6, Definitions (associated with regular polygons only) Center of a polygon – the center of its circumscribed.
Area of regular polygons
Polygon - a 3 or more sided closed figure
Find the Area. 10-5: Area of Regular Polygons p Primary: M(G&M)–10–6 Solves problems involving perimeter, circumference, or area of two-dimensional.
Chapter 11.6 Notes: Areas of Regular Polygons Goal: You will find areas of regular polygons inscribed in circles.
Perimeter and Area of Regular Polygons 9-2
10-3 Area of Regular Polygons. Radius of a regular polygon: the distance form the center to a vertex Apothem: the perpendicular distance from the center.
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.
Chapter 10: Area Section 10-3: Areas of Regular Polygons.
Chapter 11 Areas of Polygons and Circles
Circumference of a Circles
Geometry/Trig 2Name __________________________ Section 11-4 NotesDate _______________ Block ______ Regular Polygon:______________________________ _____________________________.
Area of regular polygons
11.2 Areas of Regular Polygons Unit IIIH Day 2. Do Now What are the two formulas for a 30º-60º-90º triangle? ▫hypotenuse = _________ ▫long leg = __________.
10.3 and 10.5 Areas of Regular Polygons & Trigonometry and Area.
AREAS OF REGULAR POLYGONS Geometry. Regular Polygons These are polygons with congruent sides and congruent angles. Apothem: A segment drawn from the center.
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.
Section 11-4 Areas of Regular Polygons. Given any regular polygon, you can circumscribe a circle about it.
Section 10-3 Areas of Regular Polygons Objectives: find area of a regular polygon Regular Polygon: equilateral and equiangular.
Area of Regular Polygons January 27, Objectives Learn the formula for the area of regular polygons.
Section 11.6: Areas of Regular Polygons Definitions – Given a regular polygon inscribed in a circle, the center and radius of the polygon is the center.
2.3/2.4 Polygons! Warm-up (IN) Learning Objective: to identify properties of polygons, and to find the sums of the measures of the interior and exterior.
Area Geometry Prep for Algebra 1. Area & Perimeter Area: the two-dimensional size of a figure Perimeter: The distance around the edge of figure.
Lesson 4: Proving Area of a Disk STUDENTS USE INSCRIBED AND CIRCUMSCRIBED POLYGONS FOR A CIRCLE (OR DISK) OF RADIUS AND CIRCUMFERENCE TO SHOW THAT THE.
Areas of Polygons FORMULAS Rhombus: (1/2)d *d Kite: (1/2)d *d.
Lesson 11-4 Areas of Regular Polygons (page 440) Essential Question How can you calculate the area of any figure?
Holt Geometry 9-2 Developing Formulas for Circles and Regular Polygons Warm Up Find the unknown side lengths in each special right triangle. 1. a 30°-60°-90°
Area of Regular Polygons
Sec. 10 – 3 Area of Regular Polygons
Review.
Find the area of the triangle. POLYGONS Find the area of the triangle.
9.4 Areas of Regular Polygons
8.4 Areas of Regular Polygons
11.3 Areas of Regular Polygons and Circles
7-5 Areas of Regular Polygons
Section 7.3 Regular Polygons and Area
9-2 Vocabulary Circle Center of a circle Center of a regular polygon
LESSON 7.5 AREAS OF REGULAR POLYGONS OBJECTIVE:
Geometry/Trig Name: __________________________________
10-3 Areas of Regular Polygons
7-5 Areas of Regular Polygons
Bellwork Find the values of x and y for each y y y 5 30°
Section 7.3 More About Regular Polygons
Area of Regular Polygons and Circles
Presentation transcript:

7.5 Areas of Regular Polygons and Circles Warm-up (IN) CSAP Constructed Response Learning Objective: To use area formulas to find areas of real world objects

Notes Learning Objective: To use area formulas to find areas of real world objects EX 1 – Find the area of the regular hexagon. 52 in 26 in 52 in

Learning Objective: To use area formulas to find areas of real world objects Area of a regular n-gon b Apothem -The distance from the center of a regular polygon to a side a Area of a regular n-gon

EX 2 – the apothem of a regular octagon is 4.8 and the distance from the center to each vertex is 6. Find the area of the octagon. Learning Objective: To use area formulas to find areas of real world objects 4.8 6

Learning Objective: To use area formulas to find areas of real world objects Circles! Circumference of a circle Area of a circle EX 3 – the figure is a square inscribed in a circle. Find the area of the shaded region. 24 cm Area of circle – Area of square

CKC p. 370!! On separate paper!

HW – p. 371 #1-9, 20-23,26 Out – What is an apothem and what is it used for? Summary – So, I was thinking… POW!!