find the distance between the points below (9, 0) and (5,2) find the length of the hypotenuse if...

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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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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.

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Page 1: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

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

Page 2: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

The circumference of a circle is

The distance around a circle

Page 3: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

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.

Page 4: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

The diameter is the distance across a circle through the

center.

Page 5: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

We use Pi as the measurement to help us find the circumference of a circle.

Pi, not Pie!

Page 6: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…
Page 7: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

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.

Page 8: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

Circumference = 2 r

When the radius of a circle is given, the following formula

should be used.

5 in

Page 9: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

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

Page 10: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

3in

C =

Page 11: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

8ft

C =

Page 12: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

122mm

C =

Page 13: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

17.5 cm

C =

Page 14: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

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 cm13 cm

Page 15: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

Formula for the area of a circle

We can find the area of a circle using the formula

radius

Area of a circle = πr2

Area of a circle = π × r × r

or

Page 16: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

The circumference of a circle

Use π = 3.14 to find the area of this circle.

A = πr24 cm

Page 17: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

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 = πr2

r = d2

Page 18: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

The area of a circle

Use π = 3.14 to find the area of the following circles:

A = πr22 cm A = πr210 m

A = πr2

23 mm

A = πr278 cm

Page 19: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

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 cm13 cm

Page 20: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

Holt McDougal Geometry

10-3Composite Figures

A composite figure is made up of simpleshapes, 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.

Page 21: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

Holt McDougal Geometry

10-3Composite Figures

Find the shaded area. Round to the nearest tenth, if necessary.

Example 1A: Finding the Areas of Composite Figures by Adding

Page 22: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

Holt McDougal Geometry

10-3Composite FiguresCheck It Out! Example 1

Find the shaded area. Round to the nearest tenth, if necessary.

Page 23: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

Holt McDougal Geometry

10-3Composite FiguresExample 2: Finding the Areas of Composite Figures by

SubtractingFind the shaded area. Round to the nearest tenth, if necessary.

Page 24: Find the distance between the points below (9, 0) and (5,2) Find the length of the hypotenuse if the…

Holt McDougal Geometry

10-3Composite FiguresCheck It Out! Example 2

Find the shaded area. Round to the nearest tenth, if necessary.