Do Now

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Evaluate. 1. 6 4 2 2. 5.6 2 3 Simplify each expression. 3. 6 + n – 4 4. 5(n + 1) 96 44.8 n + 2 5n + 5 Do Now

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Do Now. Evaluate . 1. 6  4 2 2. 5.6  2 3 Simplify each expression. 3. 6 + n – 4 4. 5( n + 1). 96. 44.8. n + 2. 5 n + 5. DWP #76. 3/14/ 2013 9-2 D Area of Circles. A ≈ 3 • 20 2. A ≈ 3 • 400. A ≈ 1,200 m 2. Example 1 - PowerPoint PPT Presentation

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Evaluate.

1. 6 42

2. 5.6 23

Simplify each expression.

3. 6 + n – 4

4. 5(n + 1)

96

44.8

n + 2

5n + 5

Do Now

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4/15/2015 9-2 D Area of Circles

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Example 1

Estimate the area of the circle. Use 3 to approximate .

A ≈ 3 • 202

A ≈ 1,200 m2

A = r2

A ≈ 3 • 400

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Example 2

Estimate the area of the circle. Use 3 to approximate .

r = 28 ÷ 2

A ≈ 3 • 142

A = r2

r = 14

r = d ÷ 2

A ≈ 3 • 196

A ≈ 588 m2

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Example 3

Find the area of the circle. Use for .

A = r2

r = d ÷ 2r = 8 ÷ 2 = 4

A • 16 22

7 __

A 50 ft2

22 7

A • (4)222

7352

72 7

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Example 4

Find the area of the circle. Use for .

A = r2

A • 4922

7 __ 7

A 154 cm2

22 7

A • 7222

7

1

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Example 5

A drum head has a radius of 18 in. Find the area of the material covering the drum head. use 3.14 for .

A 3.14 • 182

18 in.A = r2

A 3.14 • 324

A 1,017.36 in.2

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Example 6Find the area of the circle.Use 3.14 for .

Estimate 3 × 4 × 4 = 48

A = r2

A ≈ 3.14 ● 42

A ≈ 3.14 ● 16

A ≈ 50.24

The area of the circle is approximately 50.24 square centimeters.

Check for Reasonableness 50.24 ≈ 48

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Example 7Find the area of the fountain shown. Use 3.14 for . Round to the nearest tenth if necessary.

Estimate 3 × 3 × 3 = 27

A = r2

A ≈ 3.14 ● 2.62

A ≈ 3.14 ● 6.76

A ≈ 21.2

The area is approximately 21.2 square meters.

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Example 8Find the area of the semicircle. Use 3.14 for . Round to the nearest tenth if necessary.

Replace r with 4.5

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The area of the semicircle is approximately 31.8 square centimeters.

A ≈ 0.5(3.14)(4.5)2 Use 3.14 for .

A ≈ 0.5(3.14)(20.25) 4.52 = 4.5 ● 4.5 = 20.25

A ≈ 31.8 Simplify.

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Estimate the area of each circle.

1. 2.

27 km2

1,200 yd2

Exit Ticket

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3. 4.

4.53 cm2 1.54 m2

Find the area of each circle. Use for .22 7

5. A coater has a diameter of 6 inches. Find the area of the largest cup the coaster can hold. Use 3.14 for .28.26 in2

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1. Estimate the area of the circle. Use 3 for .

A. 48 km2 B. 46 km2

C. 44 km2

D. 42 km2

4 km

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2. Estimate the area of the circle. Use 3 for .

A. 772 yd2 B. 872 yd2

C. 972 yd2

D. 992 yd2

36 yd

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3. Estimate the area of the circle. Use 3 for .

A. 36.75 cm2 B. 21 cm2

C. 10.5 cm2

D. 9.19 cm2

3.5 cm

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4. A circular table has a diameter of 8 feet. Identify the area of the table cloth needed to cover the table. Use 3.14 for .

A. 25.12 ft2 B. 37.68 ft2

C. 40.82 ft2

D. 50.24 ft2

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Homework

• Pg. 553 #1-20 All• Study for Ch. 9 Quiz II