Do Now 5/2/18 Find the area of the figures below.

10.1AreaofParallelogramsTriangles.notebook

Do Now 5/2/18

Learning Target: I will be able to use geometric shapes and their properties to describe objects.

Success Criteria: I will be able to find the area of parallelograms and triangles.

Find the area of the figures below.

2.5

6

7

13

5


What is the area of each parallelogram?


Area of a Parallelogram

A= b h

Area of a Triangle

A= b h


Homework Section 10.1Page 619 #119 ODDS


Example: Find the length of h.


Find the area of a polygon with the given vertices.

D (0,0), E (2,4), F( 6,4), G (6,0)


Find the area of Nevada.


example: Find the area of the kite.


A parallelogram has sides 15cm and 18cm. The height corresponding to a 15cm base is 9cm. What is the height corresponding to an 18cm base?


Geometry HW Section 10.2

Pg. 625: 113, 16, 3234


Do Now 4/26/16


Success Criteria: I will be able to find the area of regular polygons.


Section 10.3: Area of Regular Polygons

Radius of a Regular Polygon: Distance from the center to a vertex

Apothem: The perpendicular distance from the center to a side




The figure at the right is a regular pentagon with radii and an apothem drawn. What is the measure of each numbered angle?

At the right a portion of a regular octagon has radii and an apothem drawn. What is the measure of each numbered angle?


Postulate 10.1: If two figures are congruent, then their areas are equal.

Area=


Find the area of the figure.

Find the area.


Section 10.3

Pg. 632 #1125 ODDSfor 21, 23, 25 look back at properties of

306090 and 454590 triangles


Do Now 5/7/15



Find the lengths of the missing sides.Hint: Look back in your notes.

30

60

4

r t 45

45

5

x

y

\


Find the area of this polygon.

8

13


The gazebo in the photo is built in the shape of a regular octagon. Each side is 8 ft long, and the enclosed area is 310.4 ft2. What is the length of the apothem?


Example: A honeycomb is made up of regular hexagonal cells. The length of a side of a cell is 3mm. What is the area of a cell?


Find the area of the regular polygon with the given radius or apothem.

6 cm


Section 10.3

Pg. 632 # 1224 EVENS


Do Now 5/8/15

Learning Target: I will be able to use similar geometric shapes and their properties to describe how objects are related.

Success Criteria: I will be able to find the perimeter and areas of similar polygons.

Find the area of the regular polygon.


Perimeter: The total distance around a shape.

Area: The amount of a space a shape takes up.


Equilateral Triangle


Square


Regular Hexagon


1. 2.5/3/16Find the area of the figures below.

3. 4.


10.4 Perimeters and Areas of Similar Figures Theorem

If the scale factor of two similar figures is , then

1. The ratio of their perimeters is

2. The ratio of their areas is


The area of the smaller regular pentagon is 27.5 cm2. What is the best approximation for the area of the larger regular pentagon?


The scale factor of two similar parallelograms is 3/4. The area of the larger parallelogram is 96 in2. What is the area of the smaller parallelogram?

Section 10.4 HomeworkPg. 638 #212, 18, 20, 22

EVENS


What is the ratio of areas

(smallest to largest)?

The areas of two similar rectangles are 1875 ft2 and 135 ft2. What is the ratio of their perimeters?


During the summer, a group of high school students cultivated a plot of land and harvested 13 bushels of vegetables. Next summer they plan to use a larger, similar plot of land. In the new plot each dimension is 2.5 times bigger. How many bushels can the students expect to harvest next year?


Section 10.4 HomeworkPg. 638 #212, 18, 20, 22

EVENS2, 4, 6, 8, 10 due before you leave

today!


Do Now 5/4/16


Success Criteria: I will be able to find the measures of central angles, arcs, and circumference.

What is the ratio of the perimeters and the areas for the regular polygons below?

3.514


The areas of two similar rectangles are 1875 ft2 and 135 ft2. What is the ratio of their perimeters?


radiusdiameter

Section 10.6: Circles and Arcs

A BP

AB is the diameter.

PB is the radius.

Central Angle: An angle whose vertex is the center of the circle.

APC: Central Angle

R

S

An arc is part of a circle.

Minor Arc: smaller than semicircle

Major Arc: bigger than semicircle

Arc Measure (angle)Find the measure of each arc in circle C.

A BP

C

Do problems 13, 15, 17 in book on page 654!


Arc Length is the distance of a fraction of the circle.

Finding the Arc Length (distance)What is the length of each arc shown in red? Leave your answer in terms of π.

Do problems 31, 33, 34, 35 in book!

Arc Length=


Circumference of a Circle:

Circumference is...

Concentric circles have the same center.

distance around a circle.


A 2 ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 8 ft. What is the circumference of the outer circle?

How much farther does a wheel on the outer rail travel than the wheel on the inner rail?

Find the circumference of the inner wheel.

Do problems 25 and 27 in book!


A car has a circular turning radius of 16.1 ft. The distance between the two front tires is 4.7 ft. How much farther does a tire on the outside of the turn travel than a tire on the inside?


What are the big ideas from today?

Section 10.6 HomeworkPg. 654 #1335, 47 ODDS


Take out your notes and a pencil. Open Geometry book to page 663!



Success Criteria: I will be able to find the areas of circles, sectors, and segments of circles.

Finding the Area of a Circle: What is the area of the circular region on the wrestling mat?

Do problems 710 on pg. 663 in book!

Area of a Circle:

Example: What is the area of a circular wrestling region with a 42ft diameter?


You use an online store locator to search for a store within a 5 mile radius of your home. What is the area of your search?


Finding the Area of a Sector: What is the area of sector GPH?

Sector of a Circle: A region bounded by an arc and the two radii of the arc.

Do problems 1318 in book!A circle has a radius of 4 in. What is the area of a sector bounded by a 45o arc? Leave your answer in terms of π.


26 m120

15.


Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is covered with an irrigation arm of 300 ft?

Do Now 5/11/16


Segment of a Circle: A part of a circle bounded by an arc and the segment joining its endpoints.

Finding the Area of a Segment:

Do problems 2326 page 664 in book!

What is the area of the shaded segment shown at the right? Round your answer to the nearest tenth.


Chapter 10 ReviewPg. 677 #525, 3545 ODDS


Section 10.7 Homework

Pg. 663 # 1922, 33, 3739

Wrap Up! Turn to your partner and discuss the main ideas from today!

Do Now 5/2/18 Find the area of the figures below.

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