Pythagorean Theorem, Perimeter, Circumference, Area ….

Slides:

Advertisements

Similar presentations

Area & Perimeter Area of a rectangle = Area of a triangle = Area of a parallelogram = Area of a trapezium =

Advertisements

Perimeter and Area. Objectives Calculate the area of given geometric figures. Calculate the perimeter of given geometric figures. Use the Pythagorean.

MAT 142 Lecture Video Series. Perimeter and Area.

Created by G. Antidormi 2003 The Pythagorean Theorem.

TODAY IN GEOMETRY…  Review: Pythagorean Theorem and Perimeter  Learning Target: You will find areas of different polygons  Independent practice.

TODAY IN GEOMETRY…  BOOK RETURN: by this Friday!  Learning Target 1: You will find areas of different polygons  AT EXIT: In class assignment.

Perimeter Rectangles, Squares, and Triangles Perimeter Measures the distance around the edge of any flat object. To find the perimeter of any figure,

The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.

Objective: find the area of geometric figures and shaded regions. What area formulas must be memorized?

Chapter 9 Geometry © 2008 Pearson Addison-Wesley. All rights reserved.

Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

$100 Area of Parallelograms Area of Triangles Perimeter And Area Area of Trapezoids Area of Compound Figures & Area and Circumference of Circles $200.

You will learn to find the perimeter and area for different shapes and the circumference of circles. s s Perimeter = 4s or s+s+s+s Area = s 2 l w P =

5.1, 5.2, 5.3 Area, Perimeter, Circumference. Parallelograms Area & perimeter A = bh P = 2 l + 2 w Area & perimeter A = ½ bh P = add the exterior sides.

Prerequisite 12.0 OBJECTIVE:  Solve for area of various quadrilaterals, triangles, and circles  Solve for perimeter of irregular figures and circles.

Section 9-4 Perimeter, Area, and Circumference.

(5 minutes) Bell Ringer Periods 02 and 08

Geometry 7 th Grade Math Ms. Casazza Click on the button to go the next slide!

Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

5 CM 4 CM Calculation Area = Length times Width (lw or l x W) Note Length of a rectangle is always the longest side.

Area Formulas and Parallelograms

Warm-Up What is the perimeter of a regular decagon with side length s = 6?

Chapter 10 Test Formula Review.  Find the circumference of a circle with a diameter of 10. Identify the formula needed for the following questions.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 9.3 Perimeter and Area.

SQUARE ROOTS AND THEOREM OF PYTHAGORAS REVIEW DAY FOUR.

1-5: USING FORMULAS IN GEOMETRY. PERIMETER & AREA RectangleSquareTriangle P = 2l + 2w or 2(l + w) A = lw P = 4s A = s 2 P = a + b + c A = ½ bh.

The circumference of the circle is 50  feet. The area of the shaded region = ________ example 1 :

FORMULAS FORMULAS Moody Mathematics. Let’s review how to “set up” a formula with the numbers in their correct places: Moody Mathematics.

1.8: Perimeter, Circumference, and Area

Things to remember: Formula: a 2 +b 2 =c 2 Pythagorean Theorem is used to find lengths of the sides of a right triangle Side across from the right angle.

Triangles; Objective: To find the perimeter and area of a triangle.

CIRCUMFERENCE AND AREA

1.7 - Find Perimeter, Circumference, and Area. Perimeter: Length around a shape. Measured in u cm, in, ft, yd.

GHSGT Review Triangles and Circles.

Sullivan Algebra and Trigonometry: Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas.

College Algebra Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas.

11.1 Areas of Polygons. Area of a Square = _______________________ Area of a Rectangel = ____________________ Postulate 18: ___________________________.

© T Madas. Find the mean percentage mark of 37%, 42%, 68%, 55% and 39%. Find of Find 7% of 675. Find the area of a triangle with base of 1.25.

4.4 Pythagorean Theorem and the Distance Formula Textbook pg 192.

Page 292 HW Answers.

The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.

Geometry/TrigName: __________________________ Ratio of Perimeters & Areas ExplorationDate: ___________________________ Recall – Similar Figures are figures.

1.7 - Find Perimeter, Circumference, and Area. Perimeter: Length around a shape. Measured in u cm, in, ft, yd.

Trashketball. Round 1 (vocabulary) The Longest part of a right triangle is called?

The figure is composed of a right triangle and a semi-circle. What is the area of the shaded region? The figure is not drawn to scale. 7 in 24 in.

Holt CA Course Evaluating Algebraic Expressions Preview 9-1 Perimeter and Area of ParallelogramsPerimeter and Area of Parallelograms 9-2 Perimeter.

 Remember the pattern for right triangles: Area of small square + Area of medium square = Area of large square.

Pythagorean Theorem and Special Right Triangles. Anatomy of a Right Triangle Why is a right triangle called a right triangle? Because it is a triangle.

Welcome Back! Please Take a Seat Geometry Ms. Sanguiliano.

Perimeter, Circumference and Area. Perimeter and Circumference Perimeter : The distance around a geometric figure. Circumference: The distance around.

Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the length of the legs are 4 and 2.

Prerequisite for chapter 10 Section Solving equations for a given variable Box in the letter you are solving for Leave that letter in its place.

Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 9.3 Perimeter and Area.

8 th grade Vocabulary Word, Definition, model Unit 2.

G-11 (1-5) Using formulas in Geometry I can use formulas to compute perimeter and area of triangles, squares, rectangles, and circles.

8th Grade Math Chapter 9a Review

Practice Quiz Circles.

18.01 Area & Perimeter of Rectangles

GEOMETRY REVIEW.

Find the area and circumference of each circle.

Area of Triangles.

STARTERS Find the area of Trapezium = 750 Rectangle = 1000

Notes Over Pythagorean Theorem

6-3 The Pythagorean Theorem Pythagorean Theorem.

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

Find Perimeter, Circumference, and Area

The Pythagorean Theorem

6.5 Pythagorean Theorem.

Section 9.3 Perimeter and Area

The Pythagorean Theorem

Presentation transcript:

Pythagorean Theorem, Perimeter, Circumference, Area ….

Pythagorean Theorem…… Can only be used on right triangles. The hypotenuse is always the largest side and is always across from the right angle.

Example…… Find the length of the missing side. Remember, c is the hypotenuse because it is across from the right angle box.

Example…… If p = 4 and q = 5, find t.

Perimeter……

For a circle, the perimeter around the figure is called the circumference. r stands for the radius of the circle.

Find the Perimeter…..

Find Circumference……

Find the Perimeter…… Rectangle: P= = 140 Semi-Circle: C=(1/2)2(3.14)(10) = 31.4 Total = Answer = 171.4

Area……

Remember: The “r” stands for radius. The radius is half of a diameter.

Find the Area…… HINTS…… Find BC Use Pythagorean Theorem to find DB. This is the height of the triangle. Use area formula.

Find the area……

Find the Area……

Find the area of the shaded region……

Assignment…… Worksheet