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BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n- gon is 230 feet. If the area of the n-gon is 600 square feet, what is the length of the apothem?

BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

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Page 1: BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

BELL RINGER

• What is the area of a regular decagon if its side length is 12 m and its apothem is 5m?

• Suppose the perimeter of some n-gon is 230 feet. If the area of the n-gon is 600 square feet, what is the length of the apothem?

Page 2: BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

Examples Cont’d

3cm

If the area is 45 cm2, what is the side length of the regular hexagon? What is the perimeter?

Page 3: BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

Surface Area

New definitions, Finding Surface Area, and Examples . . .

Page 4: BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

Surface Area

• To find the area of a 3-dimensional figure, you will need to find it’s SURFACE AREA. You will do this by finding multiple areas of the figure and adding them all together. We will investigate:– Prisms– Pyramids– Cylinders– Cones

Page 5: BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

Faces

• Any 3-d figure will have multiple ‘faces’ that create the overall figure. Observe p. 445 in book, and view in class example.

• The face on the bottom is called the ‘base’.

• The faces that are not a base are called ‘lateral faces’.

Page 6: BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

To find Surface Area

• Draw a picture of each face and label its lengths.

• Calculate the area of each face.

• Add the area of each face together.

Page 7: BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

Examples

• See board.

Page 8: BELL RINGER What is the area of a regular decagon if its side length is 12 m and its apothem is 5m? Suppose the perimeter of some n-gon is 230 feet. If

Class Work

• P. 450, #1-9, 11

If you finish early,

p. 455, #1-10