day 61 · day 61 1. opener a & b) give the translation. c) a certain regular polygon has...

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Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is 10 inches long. What kind of regular polygon is it? e) What is the only food that doesn’t spoil?

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Page 1: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

Day 61

1. Openera & b) Give the translation. c) A certain regular polygon has

apothem = 15 inches. Its perimeter = 80 inches. What is its area?

d) Each of its sides is 10 inches long. What kind of regular polygon is it?

e) What is the only food that doesn’t spoil?

Page 2: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

2. Famous Idiots in HistoryIn February, 2005, police officers discovered 3 million nickels buried in the backyard of a Florida home. They were part of a 45,000 pound shipment of nickels that was stolen the previous December.

Page 3: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

2. Famous Idiots in History

Clad Lincoln Jefferson FDR GW JFK AnthonySacagaw

ea

$ .01 .05 .10 .25 .50 1.00 1.00

grams 2.5 5 2.268 5.670 11.340 8.1 8.1

$/g .004 .01 .044 .044 .044 .123 .123

Page 4: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

3. Area of a CircleWhat is the area?

A = πr2

Page 5: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

3. Area of a CircleWhat is the area?

Page 6: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

3. Area of a CircleWhat is the area?

Page 7: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

3. Area of a CircleWhat is the area?

r

half the circumference

Page 8: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

3. Area of a CircleWhat is the area?

r

πr

Page 9: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

3. Area of a CircleWhat is the area?

A = πr2

Page 10: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

3. Area of a CircleWhat is the area?

A = πr2

9 in.

A = π 9( )2

A = 81π sq. inches

Page 11: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

3. Area of a CircleWhat is the radius?

A = 33 sq. inches

Page 12: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

4. Classworkpg. 435 // #1 - 8, 12 - 15

Or: give a formula for area (A) in terms of circumference (C)

5. Break

6. Show and Tell

Page 13: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

7. Sectors, Segments, and AnnulusesWhat is the area?

Annuli

Sector Segment Annulus

r

a°a°

rr R

a fraction of the circle the sector minus a triangle a big circle minus a small one

A =a360

πr2

A =a360

πr2 − 12bh

A = πR2 −πr2

Page 14: Day 61 · Day 61 1. Opener a & b) Give the translation. c) A certain regular polygon has apothem = 15 inches. Its perimeter = 80 inches. What is its area? d) Each of its sides is

8. Classworkpg. 439 // #1 - 14

9. HomeworkBring compass.

Find the area of a stop sign in square inches.