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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?

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

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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.