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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.

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Presentation on theme: "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."— Presentation transcript:

1 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

2 The circumference of a circle is The distance around a circle

3 First we must define some things about a circle. The radius is the distance from the center of a circle to any point on a circle.

4 The diameter is the distance across a circle through the center.

5 We use Pi as the measurement to help us find the circumference of a circle. Pi, not Pie!

6

7 Two formulas are used in finding the circumference of a circle. Circumference = d WHEN THE CIRCLE HAS A DIAMETER MEASUREMENT, USE THE FOLLOWING FORMULA. 4in.

8 Circumference = 2 r When the radius of a circle is given, the following formula should be used. 5 in

9 Tell me what formula would be used to solve the next five problems.

10 3in C =

11 8ft C =

12 122mm C =

13 17.5 cm C =

14 Find the perimeter of this shape Use π = 3.14 to find perimeter of this shape. The perimeter of this shape is made up of the circumference of a circle of diameter 13 cm and two lines of length 6 cm. 6 cm 13 cm

15 Formula for the area of a circle We can find the area of a circle using the formula radius Area of a circle = πr 2 Area of a circle = π × r × r or

16 The circumference of a circle Use π = 3.14 to find the area of this circle. A = πr 2 4 cm

17 Finding the area given the diameter The radius of a circle is half of its radius, or We can substitute this into the formula A = πr 2 r = d 2

18 The area of a circle Use π = 3.14 to find the area of the following circles: A = πr 2 2 cm A = πr 2 10 m A = πr 2 23 mm A = πr 2 78 cm

19 Find the area of this shape Use π = 3.14 to find area of this shape. The area of this shape is made up of the area of a circle of diameter 13 cm and the area of a rectangle of width 6 cm and length 13 cm. 6 cm 13 cm

20 Holt McDougal Geometry 10-3 Composite Figures A composite figure is made up of simple shapes, such as triangles, rectangles, trapezoids, and circles. To find the area of a composite figure, find the areas of the simple shapes and then use the Area Addition Postulate.

21 Holt McDougal Geometry 10-3 Composite Figures Find the shaded area. Round to the nearest tenth, if necessary. Example 1A: Finding the Areas of Composite Figures by Adding

22 Holt McDougal Geometry 10-3 Composite Figures Check It Out! Example 1 Find the shaded area. Round to the nearest tenth, if necessary.

23 Holt McDougal Geometry 10-3 Composite Figures Example 2: Finding the Areas of Composite Figures by Subtracting Find the shaded area. Round to the nearest tenth, if necessary.

24 Holt McDougal Geometry 10-3 Composite Figures Check It Out! Example 2 Find the shaded area. Round to the nearest tenth, if necessary.


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